Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
140101	Find the Sum of the Infinite Geometric Series	4 , 8 , 12 , 16	$4$ , $8$ , $12$ , $16$
140102	Find the Sum of the Infinite Geometric Series	3 , -15 , 75 , -375	$3$ , $- 15$ , $75$ , $- 375$
140103	Find the Sum of the Infinite Geometric Series	3 , 6 , 12 , 24 , 48	$3$ , $6$ , $12$ , $24$ , $48$
140104	Find the Sum of the Infinite Geometric Series	-30 , -6 , -6/5 , -6/25	$- 30$ , $- 6$ , $- \frac{6}{5}$ , $- \frac{6}{25}$
140105	Find the Sum of the Infinite Geometric Series	5 , 5/2 , 5/4	$5$ , $\frac{5}{2}$ , $\frac{5}{4}$
140106	Find the Sum of the Infinite Geometric Series	32 , 8 , 2 , 1/2	$32$ , $8$ , $2$ , $\frac{1}{2}$
140107	Find the Sum of the Infinite Geometric Series	1 , 7 , 49 , 343	$1$ , $7$ , $49$ , $343$
140108	Find the Sum of the Infinite Geometric Series	-10 , -5 , -5/2 , -5/4	$- 10$ , $- 5$ , $- \frac{5}{2}$ , $- \frac{5}{4}$
140109	Find the Sum of the Infinite Geometric Series	16 , 8 , 4 , 2	$16$ , $8$ , $4$ , $2$
140110	Find the Sum of the Infinite Geometric Series	18 , 6 , 2	$18$ , $6$ , $2$
140111	Find the Sum of the Infinite Geometric Series	2 , 10 , 50 , 250 , ...	$2$ , $10$ , $50$ , $250$ , $\dots$
140112	Find the Sum of the Infinite Geometric Series	2 , 4 , 8 , 16	$2$ , $4$ , $8$ , $16$
140113	Find the Sum of the Infinite Geometric Series	24 , -6 , 3/2	$24$ , $- 6$ , $\frac{3}{2}$
140114	Find the Sum of the Infinite Geometric Series	3 , 3/4 , 3/16	$3$ , $\frac{3}{4}$ , $\frac{3}{16}$
140115	Write as a Set of Linear Factors	f(x)=3x^3+7x^2+147x+343	$f (x) = 3 x^{3} + 7 x^{2} + 147 x + 343$
140116	Write as a Set of Linear Factors	f(x)=5x^3-x^2-55x+11	$f (x) = 5 x^{3} - x^{2} - 55 x + 11$
140117	Write as a Set of Linear Factors	f(x)=-2x^4+13x^3-21x^2+2x+8	$f (x) = - 2 x^{4} + 13 x^{3} - 21 x^{2} + 2 x + 8$
140118	Find the Exponential Function	(-6,2)	$(- 6, 2)$
140119	Find the Exponential Function	(6,-2)	$(6, - 2)$
140120	Find the Exponential Function	(-3,343/64)	$(- 3, \frac{343}{64})$
140121	Find the Exponential Function	(-3,125)	$(- 3, 125)$
140122	Find the Exponential Function	(-3,6)	$(- 3, 6)$
140123	Find the Exponential Function	(3,-7)	$(3, - 7)$
140124	Write as a Set of Linear Factors	f(x)=x^3-8x^2+14x-4	$f (x) = x^{3} - 8 x^{2} + 14 x - 4$
140125	Write as a Set of Linear Factors	f(x)=x^3-8x^2+16x-8	$f (x) = x^{3} - 8 x^{2} + 16 x - 8$
140126	Write as a Set of Linear Factors	F(x)=x^3-x^2-4x-6	$F (x) = x^{3} - x^{2} - 4 x - 6$
140127	Write as a Set of Linear Factors	f(x)=x^4+3x^3-30x^2-124x-120	$f (x) = x^{4} + 3 x^{3} - 30 x^{2} - 124 x - 120$
140128	Write as a Set of Linear Factors	f(x)=x^4-4x^3+5x^2-2x-6	$f (x) = x^{4} - 4 x^{3} + 5 x^{2} - 2 x - 6$
140129	Write as a Set of Linear Factors	g(x)=x^3+x^2-3x+1	$g (x) = x^{3} + x^{2} - 3 x + 1$
140130	Write as a Set of Linear Factors	g(x)=x^3-4x^2-5x+14	$g (x) = x^{3} - 4 x^{2} - 5 x + 14$
140131	Write as a Set of Linear Factors	f(x)=x^4-7x^3-45x^2-71x-34	$f (x) = x^{4} - 7 x^{3} - 45 x^{2} - 71 x - 34$
140132	Write as a Set of Linear Factors	f(x)=x^3-125	$f (x) = x^{3} - 125$
140133	Write as a Set of Linear Factors	f(x)=x^3+6x^2+3x-10	$f (x) = x^{3} + 6 x^{2} + 3 x - 10$
140134	Write as a Set of Linear Factors	f(x)=x^3+4x^2-2x-12	$f (x) = x^{3} + 4 x^{2} - 2 x - 12$
140135	Evaluate Using Synthetic Division	f(x)=2x^3+x^2+x-5 , k=-1	$f (x) = 2 x^{3} + x^{2} + x - 5$ , $k = - 1$
140136	Evaluate Using Synthetic Division	f(x)=2x^3+x^2+x-7 , k=-1	$f (x) = 2 x^{3} + x^{2} + x - 7$ , $k = - 1$
140137	Evaluate Using Synthetic Division	f(x)=x^3+5x^2+7x+12 , k=-4	$f (x) = x^{3} + 5 x^{2} + 7 x + 12$ , $k = - 4$
140138	Evaluate Using Synthetic Division	p(x)=2x^3-x^2+10x ; a=1/2	$p (x) = 2 x^{3} - x^{2} + 10 x$ ; $a = \frac{1}{2}$
140139	Find the y-intercept	x=9/2	$x = \frac{9}{2}$
140140	Find the y-intercept	5x-3y=-12	$5 x - 3 y = - 12$
140141	Find the y-intercept	4x+2y=-12	$4 x + 2 y = - 12$
140142	Find the y-intercept	-4x+6y-5z=60	$- 4 x + 6 y - 5 z = 60$
140143	Identify the Polar Equation	rsin(theta)=5	$r \sin (θ) = 5$
140144	Identify the Polar Equation	z=5(cos(pi)+isin(pi))	$z = 5 (\cos (π) + i \sin (π))$
140145	Identify the Polar Equation	z=-5 square root of 3-5i	$z = - 5 \sqrt{3} - 5 i$
140146	Identify the Polar Equation	z=4(cos(pi/2)+isin(pi/2))	$z = 4 (\cos (\frac{π}{2}) + i \sin (\frac{π}{2}))$
140147	Identify the Polar Equation	r^2=4sin(2theta)	$r^{2} = 4 \sin (2 θ)$
140148	Identify the Polar Equation	r=3cos(2theta)	$r = 3 \cos (2 θ)$
140149	Identify the Polar Equation	r=1-sin(theta)	$r = 1 - \sin (θ)$
140150	Identify the Polar Equation	rcos(theta)=2	$r \cos (θ) = 2$
140151	Identify the Polar Equation	r=sec(theta)	$r = \sec (θ)$
140152	Find the Slope and y-intercept	y=7	$y = 7$
140153	Find the Slope and y-intercept	7x-6y=3	$7 x - 6 y = 3$
140154	Write as a Set of Linear Factors	p(x)=x^3-12x-16	$p (x) = x^{3} - 12 x - 16$
140155	Write as a Set of Linear Factors	h(x)=x^3-5x^2+9x-5	$h (x) = x^{3} - 5 x^{2} + 9 x - 5$
140156	Write as a Set of Linear Factors	h(x)=x^3-8x^2+19x-14	$h (x) = x^{3} - 8 x^{2} + 19 x - 14$
140157	Write as a Set of Linear Factors	g(x)=x^3-9x^2+25x-21	$g (x) = x^{3} - 9 x^{2} + 25 x - 21$
140158	Write as a Set of Linear Factors	h(x)=x^3+x^2-4x-4	$h (x) = x^{3} + x^{2} - 4 x - 4$
140159	Solve for a4	a_4=((-1)^(4+1))/(4+4)	$a_{4} = \frac{{(- 1)}^{4 + 1}}{4 + 4}$
140160	Solve for a4	a_4=(-1)^(4+1)(4+6)	$a_{4} = {(- 1)}^{4 + 1} (4 + 6)$
140161	Solve for a4	a_4=(-1)^(4+1)*2(4)^2	$a_{4} = {(- 1)}^{4 + 1} \cdot 2 {(4)}^{2}$
140162	Solve for a4	a_4=(2(4))/(4-3)	$a_{4} = \frac{2 (4)}{4 - 3}$
140163	Solve for a4	a_4=(-4)^4	$a_{4} = {(- 4)}^{4}$
140164	Solve for a4	a_4=(4^2-12)/(4^2+12)	$a_{4} = \frac{4^{2} - 12}{4^{2} + 12}$
140165	Solve for a4	a_4=2(4)^2	$a_{4} = 2 {(4)}^{2}$
140166	Solve for a4	a_4=2(4)-1	$a_{4} = 2 (4) - 1$
140167	Solve for a3	a_3=6(2)^(3-1)	$a_{3} = 6 {(2)}^{3 - 1}$
140168	Solve for a3	a_3=-6*5^(3-1)	$a_{3} = - 6 \cdot 5^{3 - 1}$
140169	Solve for a3	a_3=5(3)+4	$a_{3} = 5 (3) + 4$
140170	Solve for a3	a_3=9*(-2)^(3-1)	$a_{3} = 9 \cdot {(- 2)}^{3 - 1}$
140171	Solve for a3	a_3=-1(1/3)^(3-1)	$a_{3} = - 1 {(\frac{1}{3})}^{3 - 1}$
140172	Solve for a3	a_3=(2(3))/(3-2)	$a_{3} = \frac{2 (3)}{3 - 2}$
140173	Solve for a3	a_3=(3^2-5)/(3^2+5)	$a_{3} = \frac{3^{2} - 5}{3^{2} + 5}$
140174	Solve for a3	a_3=(2(3))/(3+6)	$a_{3} = \frac{2 (3)}{3 + 6}$
140175	Solve for a2	a_2=3a_2-1+2	$a_{2} = 3 a_{2 - 1} + 2$
140176	Solve for a2	a_2=5(2+1)	$a_{2} = 5 (2 + 1)$
140177	Solve for a2	a_2=-6*5^(2-1)	$a_{2} = - 6 \cdot 5^{2 - 1}$
140178	Solve for a2	a_2=6+a_2-1	$a_{2} = 6 + a_{2 - 1}$
140179	Solve for a2	a_2=7(2)^(2-1)	$a_{2} = 7 {(2)}^{2 - 1}$
140180	Solve for a7	a_7=2^7	$a_{7} = 2^{7}$
140181	Solve for a7	a_7=6(-1/2)^(7-1)	$a_{7} = 6 {(- \frac{1}{2})}^{7 - 1}$
140182	Solve for a5	a_5=4+(-1)^5	$a_{5} = 4 + {(- 1)}^{5}$
140183	Solve for a4	a_4=9*(-2)^(4-1)	$a_{4} = 9 \cdot {(- 2)}^{4 - 1}$
140184	Solve for a4	a_4=6(4)^(4-1)	$a_{4} = 6 {(4)}^{4 - 1}$
140185	Solve for a4	a_4=4(2)^(4-1)	$a_{4} = 4 {(2)}^{4 - 1}$
140186	Solve for a4	a_4=3(4)+4	$a_{4} = 3 (4) + 4$
140187	Solve for b2	16=1/2*4(3+b_2)	$16 = \frac{1}{2} \cdot 4 (3 + b_{2})$
140188	Solve for a1	a_1=1024 , r=0.5	$a_{1} = 1024$ , $r = 0.5$
140189	Solve for a1	a_1=(n^2-15)/(n^2+15)	$a_{1} = \frac{n^{2} - 15}{n^{2} + 15}$
140190	Solve for a1	a_1=(-1)^(1+1)(1+9)	$a_{1} = {(- 1)}^{1 + 1} (1 + 9)$
140191	Solve for a1	a_1=1/3	$a_{1} = \frac{1}{3}$
140192	Solve for a1	a_1=1/(1!)	$a_{1} = \frac{1}{1!}$
140193	Solve for A0	A_0e^(kt)	$A_{0} e^{k t}$
140194	Solve for a1	a_1=((-1)^(1+1))/(2^1-1)	$a_{1} = \frac{{(- 1)}^{1 + 1}}{2^{1} - 1}$
140195	Solve for A0	A=A_0e^(kt)	$A = A_{0} e^{k t}$
140196	Solve for A0	A(40)=A_0e^(-0.0244(40))	$A (40) = A_{0} e^{- 0.0244 (40)}$
140197	Solve for a1	a_1=7^1	$a_{1} = 7^{1}$
140198	Solve for a1	a_1=8^1	$a_{1} = 8^{1}$
140199	Solve for a1	a_1=5n-1	$a_{1} = 5 n - 1$
140200	Solve for a1	a_1=-5	$a_{1} = - 5$