Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
29101	Evaluate the Limit	limit as x approaches 8 of (8x^3-2x^2-9x)/(10-10x-6x^3)	$lim_{x \to 8} \frac{8 x^{3} - 2 x^{2} - 9 x}{10 - 10 x - 6 x^{3}}$
29102	Evaluate the Summation	sum from k=2 to 3 of k^2-2k	$\sum_{k = 2}^{3} k^{2} - 2 k$
29103	Evaluate the Summation	sum from k=2 to 6 of cos(kpi)	$\sum_{k = 2}^{6} \cos (k π)$
29104	Evaluate the Summation	sum from k=3 to 6 of k(k-2)	$\sum_{k = 3}^{6} k (k - 2)$
29105	Evaluate the Summation	sum from k=4 to 8 of 2k+2	$\sum_{k = 4}^{8} 2 k + 2$
29106	Evaluate the Summation	sum from k=1 to 5 of 2k-3	$\sum_{k = 1}^{5} 2 k - 3$
29107	Evaluate the Summation	sum from k=1 to 6 of 5k^2	$\sum_{k = 1}^{6} 5 k^{2}$
29108	Evaluate the Summation	sum from k=1 to 9 of -4k	$\sum_{k = 1}^{9} - 4 k$
29109	Evaluate the Summation	sum from k=1 to 9 of 5	$\sum_{k = 1}^{9} 5$
29110	Evaluate the Summation	sum from i=1 to 6 of 2i	$\sum_{i = 1}^{6} 2 i$
29111	Evaluate the Summation	sum from k=1 to 99 of k	$\sum_{k = 1}^{99} k$
29112	Evaluate the Summation	sum from n=2 to 5 of 5n+3	$\sum_{n = 2}^{5} 5 n + 3$
29113	Evaluate the Summation	sum from k=1 to 6 of 3k	$\sum_{k = 1}^{6} 3 k$
29114	Evaluate the Summation	sum from k=1 to 6 of 4k^3	$\sum_{k = 1}^{6} 4 k^{3}$
29115	Evaluate the Summation	sum from k=1 to 60 of 4	$\sum_{k = 1}^{60} 4$
29116	Evaluate the Summation	sum from k=1 to 8 of 1/k	$\sum_{k = 1}^{8} \frac{1}{k}$
29117	Evaluate the Summation	sum from k=1 to 8 of -4(2/3)^(k-1)	$\sum_{k = 1}^{8} - 4 {(\frac{2}{3})}^{k - 1}$
29118	Evaluate the Summation	sum from k=1 to 5 of k^3	$\sum_{k = 1}^{5} k^{3}$
29119	Evaluate the Summation	sum from k=1 to 5 of 4k	$\sum_{k = 1}^{5} 4 k$
29120	Evaluate the Summation	sum from k=1 to 4 of k(k+1)	$\sum_{k = 1}^{4} k (k + 1)$
29121	Evaluate the Summation	sum from k=1 to 5 of 6k-14	$\sum_{k = 1}^{5} 6 k - 14$
29122	Evaluate the Summation	sum from k=1 to 6 of 3k-7	$\sum_{k = 1}^{6} 3 k - 7$
29123	Evaluate the Summation	sum from k=1 to 6 of 10k	$\sum_{k = 1}^{6} 10 k$
29124	Evaluate the Summation	sum from k=1 to 6 of 11k	$\sum_{k = 1}^{6} 11 k$
29125	Evaluate the Summation	sum from j=1 to 6 of 12j	$\sum_{j = 1}^{6} 12 j$
29126	Evaluate the Summation	sum from j=1 to 6 of 2j	$\sum_{j = 1}^{6} 2 j$
29127	Evaluate the Summation	sum from j=2 to 4 of (j+1)^2	$\sum_{j = 2}^{4} {(j + 1)}^{2}$
29128	Evaluate the Summation	sum from j=1 to 6 of 9j	$\sum_{j = 1}^{6} 9 j$
29129	Evaluate the Summation	sum from j=0 to 5 of 2^j	$\sum_{j = 0}^{5} 2^{j}$
29130	Evaluate the Summation	sum from j=1 to 4 of (-3/5)^j	$\sum_{j = 1}^{4} {(- \frac{3}{5})}^{j}$
29131	Evaluate the Summation	sum from j=1 to 100 of (-1)^j	$\sum_{j = 1}^{100} {(- 1)}^{j}$
29132	Evaluate the Summation	sum from j=1 to 6 of 5j	$\sum_{j = 1}^{6} 5 j$
29133	Evaluate the Summation	sum from j=8 to 12 of (-1)^j	$\sum_{j = 8}^{12} {(- 1)}^{j}$
29134	Evaluate the Summation	sum from k=0 to 10 of 3+0.25k	$\sum_{k = 0}^{10} 3 + 0.25 k$
29135	Evaluate the Summation	sum from k=0 to 8 of (0.3)^k	$\sum_{k = 0}^{8} {(0.3)}^{k}$
29136	Evaluate the Summation	sum from k=1 to 10 of k^2	$\sum_{k = 1}^{10} k^{2}$
29137	Evaluate the Summation	sum from k=1 to 2 of (180k)/(k+8)	$\sum_{k = 1}^{2} \frac{180 k}{k + 8}$
29138	Evaluate the Summation	sum from k=1 to 20 of k^2	$\sum_{k = 1}^{20} k^{2}$
29139	Evaluate the Summation	sum from k=1 to 22 of k	$\sum_{k = 1}^{22} k$
29140	Evaluate the Summation	sum from k=1 to 2 of (90k)/(k+8)	$\sum_{k = 1}^{2} \frac{90 k}{k + 8}$
29141	Evaluate the Summation	sum from k=1 to 15 of 7k-45	$\sum_{k = 1}^{15} 7 k - 45$
29142	Evaluate the Summation	sum from k=1 to 14 of k	$\sum_{k = 1}^{14} k$
29143	Evaluate the Summation	sum from k=1 to 15 of 5-2k	$\sum_{k = 1}^{15} 5 - 2 k$
29144	Evaluate the Summation	sum from k=1 to 12 of 3k+9	$\sum_{k = 1}^{12} 3 k + 9$
29145	Evaluate the Summation	sum from k=1 to 13 of k^2	$\sum_{k = 1}^{13} k^{2}$
29146	Evaluate the Summation	sum from k=1 to 10 of k	$\sum_{k = 1}^{10} k$
29147	Evaluate the Summation	sum from k=1 to 4 of (-2/3)^K	$\sum_{k = 1}^{4} {(- \frac{2}{3})}^{K}$
29148	Evaluate the Summation	sum from k=1 to 4 of 5k	$\sum_{k = 1}^{4} 5 k$
29149	Evaluate the Summation	sum from k=1 to 35 of k	$\sum_{k = 1}^{35} k$
29150	Evaluate the Summation	sum from k=1 to 3 of (-1)^(k+4)sin(pi/k)	$\sum_{k = 1}^{3} {(- 1)}^{k + 4} \sin (\frac{π}{k})$
29151	Evaluate the Summation	sum from k=1 to 3 of (-1)^(k+1)+cos(pi/k)	$\sum_{k = 1}^{3} {(- 1)}^{k + 1} + \cos (\frac{π}{k})$
29152	Evaluate the Summation	sum from k=1 to 4 of (-1/6)^k	$\sum_{k = 1}^{4} {(- \frac{1}{6})}^{k}$
29153	Evaluate the Summation	sum from k=1 to 4 of 54(1/3)^k	$\sum_{k = 1}^{4} 54 {(\frac{1}{3})}^{k}$
29154	Evaluate the Summation	sum from k=1 to 4 of k	$\sum_{k = 1}^{4} k$
29155	Evaluate the Summation	sum from k=1 to 4 of C	$\sum_{k = 1}^{4} C$
29156	Evaluate the Summation	sum from k=1 to 40 of k	$\sum_{k = 1}^{40} k$
29157	Evaluate the Summation	sum from k=1 to 45 of 6k-24	$\sum_{k = 1}^{45} 6 k - 24$
29158	Evaluate the Summation	sum from n=1 to 46 of 2.5n-3	$\sum_{n = 1}^{46} 2.5 n - 3$
29159	Evaluate the Summation	sum from n=1 to 60 of 3n-2	$\sum_{n = 1}^{60} 3 n - 2$
29160	Evaluate the Summation	sum from n=1 to 7 of 2+n^2	$\sum_{n = 1}^{7} 2 + n^{2}$
29161	Evaluate the Summation	sum from n=1 to 15 of 5(-2n)	$\sum_{n = 1}^{15} 5 (- 2 n)$
29162	Evaluate the Summation	sum from n=1 to 15 of 7n-9	$\sum_{n = 1}^{15} 7 n - 9$
29163	Evaluate the Summation	sum from n=1 to 20 of u(n)	$\sum_{n = 1}^{20} u (n)$
29164	Evaluate the Summation	sum from n=1 to 14 of 15-4n	$\sum_{n = 1}^{14} 15 - 4 n$
29165	Find the x and y Intercepts	y=(x-1)/(x+1)	$y = \frac{x - 1}{x + 1}$
29166	Evaluate the Summation	sum from n=1 to 17 of 6n-5	$\sum_{n = 1}^{17} 6 n - 5$
29167	Evaluate the Summation	sum from n=1 to 4 of 20-9n	$\sum_{n = 1}^{4} 20 - 9 n$
29168	Evaluate the Summation	sum from n=1 to 4 of 5n	$\sum_{n = 1}^{4} 5 n$
29169	Evaluate the Summation	sum from n=0 to 8 of 1/(n+1)	$\sum_{n = 0}^{8} \frac{1}{n + 1}$
29170	Evaluate the Summation	sum from n=1 to 10 of 7-2n	$\sum_{n = 1}^{10} 7 - 2 n$
29171	Evaluate the Summation	sum from n=1 to 10 of 2n	$\sum_{n = 1}^{10} 2 n$
29172	Evaluate the Summation	sum from n=0 to 15 of 2(4/3)^n	$\sum_{n = 0}^{15} 2 {(\frac{4}{3})}^{n}$
29173	Evaluate the Summation	sum from k=6 to 11 of 2k+5	$\sum_{k = 6}^{11} 2 k + 5$
29174	Evaluate the Summation	sum from k=6 to 9 of k(k-2)	$\sum_{k = 6}^{9} k (k - 2)$
29175	Evaluate the Summation	sum from n=0 to 5 of sin((npi)/2)	$\sum_{n = 0}^{5} \sin (\frac{n π}{2})$
29176	Evaluate the Summation	sum from k=6 to 31 of (3k-6)/4	$\sum_{k = 6}^{31} \frac{3 k - 6}{4}$
29177	Evaluate the Summation	sum from n=1 to 8 of 1/(1+2n)	$\sum_{n = 1}^{8} \frac{1}{1 + 2 n}$
29178	Evaluate the Summation	sum from n=1 to 8 of (-144)(1/2)^(n-1)	$\sum_{n = 1}^{8} (- 144) {(\frac{1}{2})}^{n - 1}$
29179	Evaluate the Summation	sum from n=1 to 8 of 5n-3	$\sum_{n = 1}^{8} 5 n - 3$
29180	Evaluate the Summation	sum from n=1 to 8 of n+3	$\sum_{n = 1}^{8} n + 3$
29181	Evaluate the Summation	sum from n=1 to 8 of 0.7(0.4)^n	$\sum_{n = 1}^{8} 0.7 {(0.4)}^{n}$
29182	Evaluate the Summation	sum from n=1 to 8 of (-1/3)^(n-1)	$\sum_{n = 1}^{8} {(- \frac{1}{3})}^{n - 1}$
29183	Evaluate the Summation	sum from i=1 to infinity of 0.9^i	$\sum_{i = 1}^{\infty} {(0.9)}^{i}$
29184	Evaluate the Summation	sum from n=1 to 8 of (sin(2^npix))/(2^n)	$\sum_{n = 1}^{8} \frac{\sin (2^{n} π x)}{2^{n}}$
29185	Evaluate the Summation	sum from n=1 to 8 of 3(1/4)^(n-1)	$\sum_{n = 1}^{8} 3 {(\frac{1}{4})}^{n - 1}$
29186	Evaluate the Summation	sum from n=1 to 8 of 5(-6/7)^(n-1)	$\sum_{n = 1}^{8} 5 {(- \frac{6}{7})}^{n - 1}$
29187	Evaluate the Summation	sum from n=2 to 10 of 1/2n+3	$\sum_{n = 2}^{10} \frac{1}{2} n + 3$
29188	Evaluate the Summation	sum from n=2 to 10 of 25(0.3)^(n+1)	$\sum_{n = 2}^{10} 25 {(0.3)}^{n + 1}$
29189	Evaluate the Summation	sum from n=25 to 56 of n	$\sum_{n = 25}^{56} n$
29190	Evaluate the Summation	sum from n=3 to 8 of (-0.15)^n	$\sum_{n = 3}^{8} {(- 0.15)}^{n}$
29191	Evaluate the Summation	sum from n=4 to 23 of 2n-5	$\sum_{n = 4}^{23} 2 n - 5$
29192	Evaluate the Summation	sum from n=5 to 9 of 16-3n	$\sum_{n = 5}^{9} 16 - 3 n$
29193	Find the Sum of the First 4 Terms	135 , 45 , 15	$135$ , $45$ , $15$
29194	Evaluate the Summation	sum from 1 to 20 of 8(7x)^3	$\sum_{1}^{20} 8 {(7 x)}^{3}$
29195	Evaluate the Summation	sum from 0 to 30 of 4^i-4^(i-1)	$\sum_{0}^{30} 4^{i} - 4^{i - 1}$
29196	Identify the Sequence	7 , 8 , 9	$7$ , $8$ , $9$
29197	Identify the Sequence	-17 , -14 , -11 , -8	$- 17$ , $- 14$ , $- 11$ , $- 8$
29198	Find the 4th Term	1000 , 1140 , 1299.60	$1000$ , $1140$ , $1299.6$
29199	Find the Critical Points	y=x^(2/5)-x^(7/5)	$y = x^{\frac{2}{5}} - x^{\frac{7}{5}}$
29200	Identify the Sequence	57 , 38 , 13 , 6 , 34	$57$ , $38$ , $13$ , $6$ , $34$