Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15801	Find the 5th Term	8 , 12 , 18 , 27	$8$ , $12$ , $18$ , $27$
15802	Find the 10th Term	3 , 8 , 13 , 18 , 23 , 28 , 33 , 38	$3$ , $8$ , $13$ , $18$ , $23$ , $28$ , $33$ , $38$
15803	Identify the Sequence	-10 , -17 , -24 , -31	$- 10$ , $- 17$ , $- 24$ , $- 31$
15804	Identify the Sequence	1/2 , 1 , 2 , 4 , 8	$\frac{1}{2}$ , $1$ , $2$ , $4$ , $8$
15805	Identify the Sequence	1 , 1/8 , 1/27 , 1/64 , 1/125	$1$ , $\frac{1}{8}$ , $\frac{1}{27}$ , $\frac{1}{64}$ , $\frac{1}{125}$
15806	Identify the Sequence	1 , 3 , 7 , 13	$1$ , $3$ , $7$ , $13$
15807	Identify the Sequence	-1 , -4 , -16 , -64	$- 1$ , $- 4$ , $- 16$ , $- 64$
15808	Identify the Sequence	1 , 3 , 4 , 7 , 11	$1$ , $3$ , $4$ , $7$ , $11$
15809	Identify the Sequence	1 , 5 , 9 , 13	$1$ , $5$ , $9$ , $13$
15810	Identify the Sequence	1 , 7 , 13 , 19	$1$ , $7$ , $13$ , $19$
15811	Identify the Sequence	10 , 8 , 5 , 1 , -4	$10$ , $8$ , $5$ , $1$ , $- 4$
15812	Identify the Sequence	125 , 25 , 5	$125$ , $25$ , $5$
15813	Identify the Sequence	-2 , -1 , 0 , 1 , 2	$- 2$ , $- 1$ , $0$ , $1$ , $2$
15814	Identify the Sequence	2 , 10 , 18	$2$ , $10$ , $18$
15815	Identify the Sequence	1765 , 1414 , 1063	$1765$ , $1414$ , $1063$
15816	Identify the Sequence	16 , 7 , -2	$16$ , $7$ , $- 2$
15817	Identify the Sequence	2 , 4/3 , 8/9	$2$ , $\frac{4}{3}$ , $\frac{8}{9}$
15818	Identify the Sequence	-2 , -8 , -32 , -128	$- 2$ , $- 8$ , $- 32$ , $- 128$
15819	Identify the Sequence	22 , 19 , 16 , 13	$22$ , $19$ , $16$ , $13$
15820	Identify the Sequence	25 , 36 , 49 , 64	$25$ , $36$ , $49$ , $64$
15821	Identify the Sequence	3 , -3	$3$ , $- 3$
15822	Identify the Sequence	21 , 25 , 18 , 23 , 20 , 16	$21$ , $25$ , $18$ , $23$ , $20$ , $16$
15823	Identify the Sequence	4 , 7 , 10 , 13	$4$ , $7$ , $10$ , $13$
15824	Identify the Sequence	4 , -1 , -6 , -11	$4$ , $- 1$ , $- 6$ , $- 11$
15825	Identify the Sequence	4 , -12 , 36 , -108 , 324	$4$ , $- 12$ , $36$ , $- 108$ , $324$
15826	Identify the Sequence	-3 , 9 , -27 , 81 , -243	$- 3$ , $9$ , $- 27$ , $81$ , $- 243$
15827	Identify the Sequence	3 , -9 , 27 , 81 , 243	$3$ , $- 9$ , $27$ , $81$ , $243$
15828	Identify the Sequence	-3 , -9 , -27 , -81	$- 3$ , $- 9$ , $- 27$ , $- 81$
15829	Identify the Sequence	3 , 6 , 12 , 24 , 48	$3$ , $6$ , $12$ , $24$ , $48$
15830	Identify the Sequence	32 , -16 , 8 , -4	$32$ , $- 16$ , $8$ , $- 4$
15831	Evaluate the Limit	limit as x approaches 2 from the right of square root of 4-x^2	$lim_{x \to 2} \sqrt{4 - x^{2}}$
15832	Identify the Sequence	1/12 , 2/13 , 3/14 , 4/15	$\frac{1}{12}$ , $\frac{2}{13}$ , $\frac{3}{14}$ , $\frac{4}{15}$
15833	Evaluate the Limit	limit as x approaches c of f	$lim_{x \to c} f$
15834	Identify the Sequence	5/2 , 3 , 7/2 , 4	$\frac{5}{2}$ , $3$ , $\frac{7}{2}$ , $4$
15835	Identify the Sequence	1/3 , -1/9 , 1/27 , -1/81	$\frac{1}{3}$ , $- \frac{1}{9}$ , $\frac{1}{27}$ , $- \frac{1}{81}$
15836	Identify the Sequence	-3/2 , 1 , 7/2 , 6	$- \frac{3}{2}$ , $1$ , $\frac{7}{2}$ , $6$
15837	Evaluate the Limit	limit as x approaches 3 of 3x-2	$lim_{x \to 3} 3 x - 2$
15838	Evaluate the Limit	limit as x approaches 6 of (8x^2+6)(3x+5)	$lim_{x \to 6} (8 x^{2} + 6) (3 x + 5)$
15839	Evaluate the Limit	limit as x approaches 8 of (4-3x)/(4x-9)	$lim_{x \to 8} \frac{4 - 3 x}{4 x - 9}$
15840	Evaluate the Limit	limit as x approaches 8 of (4x( log of x)+2x)/(10^100)	$lim_{x \to 8} \frac{4 x (\log (x)) + 2 x}{10^{100}}$
15841	Identify the Sequence	1 , 1/16 , 1/81 , 1/256 , 1/625	$1$ , $\frac{1}{16}$ , $\frac{1}{81}$ , $\frac{1}{256}$ , $\frac{1}{625}$
15842	Identify the Sequence	1 , 3 , 5 , 7 , 9	$1$ , $3$ , $5$ , $7$ , $9$
15843	Identify the Sequence	1/3 , 2/4 , 3/5	$\frac{1}{3}$ , $\frac{2}{4}$ , $\frac{3}{5}$
15844	Identify the Sequence	1 , 1/9 , 1/81	$1$ , $\frac{1}{9}$ , $\frac{1}{81}$
15845	Identify the Sequence	2/3 , 2/9 , 2/27 , 2/81	$\frac{2}{3}$ , $\frac{2}{9}$ , $\frac{2}{27}$ , $\frac{2}{81}$
15846	Identify the Sequence	3/3 , 3/12 , 3/48 , 3/192 , 3/768	$\frac{3}{3}$ , $\frac{3}{12}$ , $\frac{3}{48}$ , $\frac{3}{192}$ , $\frac{3}{768}$
15847	Evaluate the Limit	limit as x approaches -1 of ((x^3-2x-1)^2)/(x^4-2x+1)	$lim_{x \to - 1} \frac{{(x^{3} - 2 x - 1)}^{2}}{x^{4} - 2 x + 1}$
15848	Evaluate the Limit	limit as x approaches 1 of (x^2-4x+3)/(x^2+2x-3)	$lim_{x \to 1} \frac{x^{2} - 4 x + 3}{x^{2} + 2 x - 3}$
15849	Evaluate the Limit	limit as x approaches -1 of 1-x^2	$lim_{x \to - 1} 1 - x^{2}$
15850	Evaluate the Limit	limit as x approaches 10 of 1/(x-10)	$lim_{x \to 10} \frac{1}{x - 10}$
15851	Evaluate the Limit	limit as x approaches 7 of (2- square root of x-3)/(x^2-49)	$lim_{x \to 7} \frac{2 - \sqrt{x - 3}}{x^{2} - 49}$
15852	Evaluate the Limit	limit as x approaches 1 of (x^100-2x+1)/(x^50-2x+1)	$lim_{x \to 1} \frac{x^{100} - 2 x + 1}{x^{50} - 2 x + 1}$
15853	Evaluate the Limit	limit as x approaches 1 of (x^2+1)/(5+x)	$lim_{x \to 1} \frac{x^{2} + 1}{5 + x}$
15854	Evaluate the Limit	limit as x approaches 2 of (x^2+x-6)/(2x-4)	$lim_{x \to 2} \frac{x^{2} + x - 6}{2 x - 4}$
15855	Evaluate the Limit	limit as x approaches 2 of x^2-9x	$lim_{x \to 2} x^{2} - 9 x$
15856	Evaluate the Limit	limit as x approaches 2 of 4x^3	$lim_{x \to 2} 4 x^{3}$
15857	Evaluate the Limit	limit as x approaches 2 of 2x+7	$lim_{x \to 2} 2 x + 7$
15858	Evaluate the Limit	limit as x approaches 3 of 15/x	$lim_{x \to 3} \frac{15}{x}$
15859	Evaluate the Limit	limit as x approaches 3 of (x^4-3)(x^2+5x+3)	$lim_{x \to 3} (x^{4} - 3) (x^{2} + 5 x + 3)$
15860	Evaluate the Limit	limit as n approaches 8 of 12n^3+10	$lim_{n \to 8} 12 n^{3} + 10$
15861	Evaluate the Limit	limit as p approaches e of p	$lim_{p \to e} p$
15862	Evaluate the Limit	limit as n approaches 8 of square root of 3n^2-5n+7-n square root of 3	$lim_{n \to 8} \sqrt{3 n^{2} - 5 n + 7} - n \sqrt{3}$
15863	Evaluate the Limit	limit as n approaches 8 of (n!)/(n^n)	$lim_{n \to 8} \frac{n!}{n^{n}}$
15864	Evaluate the Limit	limit as n approaches 8 of ((3n+4)(1-n))/(n^2)	$lim_{n \to 8} \frac{(3 n + 4) (1 - n)}{n^{2}}$
15865	Evaluate the Limit	limit as x approaches 0 of (x^2-2x)/(x^4)	$lim_{x \to 0} \frac{x^{2} - 2 x}{x^{4}}$
15866	Evaluate the Limit	limit as x approaches 1/2 of (8x^3-1)/(6x^2-5x+1)	$lim_{x \to \frac{1}{2}} \frac{8 x^{3} - 1}{6 x^{2} - 5 x + 1}$
15867	Evaluate the Limit	limit as w approaches 4 of (3 square root of w-6)/(w-4)	$lim_{w \to 4} \frac{3 \sqrt{w} - 6}{w - 4}$
15868	Evaluate the Limit	limit as x approaches pi/2 of (pi/2-x)tan(x)	$lim_{x \to \frac{π}{2}} (\frac{π}{2} - x) \tan (x)$
15869	Evaluate the Limit	limit as n approaches 8 of (n^2+1)/(n^2)	$lim_{n \to 8} \frac{n^{2} + 1}{n^{2}}$
15870	Evaluate the Limit	limit as x approaches pi/4 of (1-cos(2x))/(3xsin(2x))	$lim_{x \to \frac{π}{4}} \frac{1 - \cos (2 x)}{3 x \sin (2 x)}$
15871	Evaluate the Limit	limit as x approaches 8 of (3^x-1)/(5^x-4)	$lim_{x \to 8} \frac{3^{x} - 1}{5^{x} - 4}$
15872	Evaluate the Limit	limit as x approaches 0 of (1-cos(8x))/(6x^2)	$lim_{x \to 0} \frac{1 - \cos (8 x)}{6 x^{2}}$
15873	Evaluate the Limit	limit as x approaches 0 of x^2-2	$lim_{x \to 0} x^{2} - 2$
15874	Evaluate the Limit	limit as x approaches 0 of ((2+x)^2-4)/x	$lim_{x \to 0} \frac{{(2 + x)}^{2} - 4}{x}$
15875	Evaluate the Limit	limit as x approaches 0 of (x^2+2\|x\|)/x	$lim_{x \to 0} \frac{x^{2} + 2 \| x \|}{x}$
15876	Evaluate the Limit	limit as x approaches square root of 200/4.9 of -4.9(3+ square root of 200/4.9)	$lim_{x \to \sqrt{\frac{200}{4.9}}} - 4.9 (3 + \sqrt{\frac{200}{4.9}})$
15877	Evaluate the Limit	limit as x approaches 8 of cube root of x^3-x-x-1	$lim_{x \to 8} \sqrt[3]{x^{3} - x} - x - 1$
15878	Evaluate the Limit	limit as x approaches 0 of ((1/(6-x))-(1/6))/x	$lim_{x \to 0} \frac{(\frac{1}{6 - x}) - (\frac{1}{6})}{x}$
15879	Evaluate the Limit	limit as x approaches 0 of 7sin(x)-6	$lim_{x \to 0} 7 \sin (x) - 6$
15880	Evaluate the Limit	( limit as x approaches 0 of csc(x)-cot(x))/((x)csc(x))	$\frac{lim_{x \to 0} \csc (x) - \cot (x)}{(x) \csc (x)}$
15881	Evaluate the Limit	( limit as x approaches 1 of 5x^2-7x+2)/(x^2-1)	$\frac{lim_{x \to 1} 5 x^{2} - 7 x + 2}{x^{2} - 1}$
15882	Evaluate the Limit	limit as x approaches pi of csc(2x)	$lim_{x \to π} \csc (2 x)$
15883	Evaluate the Limit	( limit as x approaches 2 of x^3-8)/(x^2-x-2)	$\frac{lim_{x \to 2} x^{3} - 8}{x^{2} - x - 2}$
15884	Evaluate the Limit	f(x) = limit as h approaches 0 of 0	$f (x) = lim_{h \to 0} 0$
15885	Evaluate the Limit	limit as x approaches 8 of ((2x-1)/(x+2))^(1/(x-3))	$lim_{x \to 8} {(\frac{2 x - 1}{x + 2})}^{\frac{1}{x - 3}}$
15886	Evaluate the Limit	limit as x approaches 0 of (cos(5x)-cos(x))/(4x^2)	$lim_{x \to 0} \frac{\cos (5 x) - \cos (x)}{4 x^{2}}$
15887	Solve for x	5x=3x^2+1	$5 x = 3 x^{2} + 1$
15888	Evaluate the Limit	( limit as x approaches o of sin(x))/(7x)	$\frac{lim_{x \to o} \sin (x)}{7 x}$
15889	Evaluate the Limit	limit as x approaches 0 of (sin(2x))/2	$lim_{x \to 0} \frac{\sin (2 x)}{2}$
15890	Evaluate the Limit	limit as x approaches 0 of ((2-x)^4-16)/x	$lim_{x \to 0} \frac{{(2 - x)}^{4} - 16}{x}$
15891	Evaluate the Limit	limit as x approaches 0 of (cot(2x))/(csc(6x))	$lim_{x \to 0} \frac{\cot (2 x)}{\csc (6 x)}$
15892	Solve for x	2^(3x-1)=3^(x-2)	$2^{3 x - 1} = 3^{x - 2}$
15893	Evaluate the Limit	limit as x approaches -2 of cube root of 5x+2	$lim_{x \to - 2} \sqrt[3]{5 x + 2}$
15894	Evaluate the Limit	limit as x approaches 2 from the right of (x^5+x^3-40)/(x-2)	$lim_{x \to 2} \frac{x^{5} + x^{3} - 40}{x - 2}$
15895	Evaluate the Limit	limit as x approaches -3 of cube root of 10+3x	$lim_{x \to - 3} \sqrt[3]{10 + 3 x}$
15896	Evaluate the Limit	limit as a approaches -3 of 5	$lim_{a \to - 3} 5$
15897	Evaluate the Limit	limit as x approaches 4 of (x^4-25)/(x^2-5)	$lim_{x \to 4} \frac{x^{4} - 25}{x^{2} - 5}$
15898	Evaluate the Limit	limit as x approaches 5 of -5/5*(8x-8)	$lim_{x \to 5} - \frac{5}{5} \cdot (8 x - 8)$
15899	Evaluate the Limit	limit as x approaches -5 of x^2-7x+12	$lim_{x \to - 5} x^{2} - 7 x + 12$
15900	Evaluate the Limit	limit as x approaches -7 of (x+5)/(7-x)	$lim_{x \to - 7} \frac{x + 5}{7 - x}$