Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
65901	Evaluate the Summation	sum from n=1 to 19 of n^2-6n+9	$\sum_{n = 1}^{19} n^{2} - 6 n + 9$
65902	Evaluate the Summation	sum from n=1 to 25 of 42	$\sum_{n = 1}^{25} 42$
65903	Evaluate the Summation	sum from n=1 to 30 of -5n-4	$\sum_{n = 1}^{30} - 5 n - 4$
65904	Evaluate the Summation	sum from n=1 to 39 of 2n-5	$\sum_{n = 1}^{39} 2 n - 5$
65905	Evaluate the Summation	sum from n=1 to 120 of 7-1/3n	$\sum_{n = 1}^{120} 7 - \frac{1}{3} n$
65906	Evaluate the Summation	sum from n=1 to 120 of 9-1/2n	$\sum_{n = 1}^{120} 9 - \frac{1}{2} n$
65907	Evaluate the Summation	sum from n=1 to 25 of -4n+1	$\sum_{n = 1}^{25} - 4 n + 1$
65908	Evaluate the Summation	sum from n=1 to 60 of 3n-9	$\sum_{n = 1}^{60} 3 n - 9$
65909	Evaluate the Summation	sum from n=1 to 60 of 4-1/3n	$\sum_{n = 1}^{60} 4 - \frac{1}{3} n$
65910	Evaluate the Summation	sum from n=1 to 60 of 7-1/3n	$\sum_{n = 1}^{60} 7 - \frac{1}{3} n$
65911	Evaluate the Summation	sum from n=1 to 60 of 9-1/3n	$\sum_{n = 1}^{60} 9 - \frac{1}{3} n$
65912	Evaluate the Summation	sum from n=1 to 100 of 6-1/2n	$\sum_{n = 1}^{100} 6 - \frac{1}{2} n$
65913	Evaluate the Summation	sum from n=1 to 100 of 2n-9	$\sum_{n = 1}^{100} 2 n - 9$
65914	Evaluate the Summation	sum from n=1 to infinity of 4(2/3)^(n-1)	$\sum_{n = 1}^{\infty} 4 {(\frac{2}{3})}^{n - 1}$
65915	Evaluate the Summation	sum from n=1 to infinity of 6(3)^(n-1)	$\sum_{n = 1}^{\infty} 6 {(3)}^{n - 1}$
65916	Evaluate the Summation	sum from n=1 to infinity of n^4	$\sum_{n = 1}^{\infty} n^{4}$
65917	Evaluate the Summation	sum from n=1 to infinity of 6(1/2)	$\sum_{n = 1}^{\infty} 6 (\frac{1}{2})$
65918	Evaluate the Summation	sum from n=1 to 10 of 4*(-3)^(n-1)	$\sum_{n = 1}^{10} 4 \cdot {(- 3)}^{n - 1}$
65919	Evaluate the Summation	sum from n=1 to 4 of 2n+4	$\sum_{n = 1}^{4} 2 n + 4$
65920	Evaluate the Summation	sum from n=1 to 4 of (5n)/(n+3)	$\sum_{n = 1}^{4} \frac{5 n}{n + 3}$
65921	Evaluate the Summation	sum from n=1 to 4 of (a-n)^2	$\sum_{n = 1}^{4} {(a - n)}^{2}$
65922	Evaluate the Summation	sum from n=1 to 4 of 1+4n	$\sum_{n = 1}^{4} 1 + 4 n$
65923	Evaluate the Summation	sum from n=1 to 3 of 0.45(8)^(n-1)	$\sum_{n = 1}^{3} 0.45 {(8)}^{n - 1}$
65924	Evaluate the Summation	sum from n=1 to 90 of 9-1/3n	$\sum_{n = 1}^{90} 9 - \frac{1}{3} n$
65925	Evaluate the Summation	sum from n=1 to 3 of 1/(n+1)	$\sum_{n = 1}^{3} \frac{1}{n + 1}$
65926	Evaluate the Summation	sum from n=1 to 4 of n^-2(12)	$\sum_{n = 1}^{4} n^{- 2} (12)$
65927	Evaluate the Summation	sum from n=1 to 5 of (-3)^(n-1)	$\sum_{n = 1}^{5} {(- 3)}^{n - 1}$
65928	Evaluate the Summation	sum from n=1 to 4 of (n+1)/(n+4)	$\sum_{n = 1}^{4} \frac{n + 1}{n + 4}$
65929	Evaluate the Summation	sum from m=1 to 4 of 5m^2+4	$\sum_{m = 1}^{4} 5 m^{2} + 4$
65930	Evaluate the Summation	sum from m=1 to 3 of (2m+1)^(m-1)	$\sum_{m = 1}^{3} {(2 m + 1)}^{m - 1}$
65931	Evaluate the Summation	sum from m=1 to infinity of 11/12(-2/5)^m	$\sum_{m = 1}^{\infty} \frac{11}{12} {(- \frac{2}{5})}^{m}$
65932	Evaluate the Summation	sum from n=0 to infinity of 3(-1/2)^n	$\sum_{n = 0}^{\infty} 3 {(- \frac{1}{2})}^{n}$
65933	Evaluate the Summation	sum from m=1 to 8 of 3(0.9)^(m-1)	$\sum_{m = 1}^{8} 3 {(0.9)}^{m - 1}$
65934	Evaluate the Summation	sum from n=0 to infinity of ((-1)^npi^(2n))/(3^(2n)(2n)!)	$\sum_{n = 0}^{\infty} \frac{{(- 1)}^{n} π^{2 n}}{3^{2 n} (2 n)!}$
65935	Evaluate the Summation	sum from n=0 to infinity of (5^n)/(n!)	$\sum_{n = 0}^{\infty} \frac{5^{n}}{n!}$
65936	Evaluate the Summation	sum from n=0 to infinity of 2(-1/2)^n	$\sum_{n = 0}^{\infty} 2 {(- \frac{1}{2})}^{n}$
65937	Evaluate the Summation	sum from n=0 to 4 of 9000+1200n	$\sum_{n = 0}^{4} 9000 + 1200 n$
65938	Evaluate the Summation	sum from n=0 to 3 of 3^(2-n)	$\sum_{n = 0}^{3} 3^{2 - n}$
65939	Evaluate the Summation	sum from n=0 to 3 of n	$\sum_{n = 0}^{3} n$
65940	Evaluate the Summation	sum from n=1 to infinity of ((-1)^(n+1))/n	$\sum_{n = 1}^{\infty} \frac{{(- 1)}^{n + 1}}{n}$
65941	Evaluate the Summation	sum from n=1 to infinity of ((3)^(n-1))/(8^n)	$\sum_{n = 1}^{\infty} \frac{{(3)}^{n - 1}}{8^{n}}$
65942	Evaluate the Summation	sum from n=1 to infinity of (3^n+7^n)/(11^n)	$\sum_{n = 1}^{\infty} \frac{3^{n} + 7^{n}}{11^{n}}$
65943	Evaluate the Summation	sum from n=1 to infinity of ((-4)^(n-1))/(8^n)	$\sum_{n = 1}^{\infty} \frac{{(- 4)}^{n - 1}}{8^{n}}$
65944	Evaluate the Summation	sum from n=1 to infinity of (4^n+7^n)/(12^n)	$\sum_{n = 1}^{\infty} \frac{4^{n} + 7^{n}}{12^{n}}$
65945	Evaluate the Summation	sum from n=1 to infinity of (3/5)^n	$\sum_{n = 1}^{\infty} {(\frac{3}{5})}^{n}$
65946	Evaluate the Summation	sum from n=1 to infinity of (2^n+5^n)/(8^n)	$\sum_{n = 1}^{\infty} \frac{(2^{n} + 5^{n})}{8^{n}}$
65947	Evaluate the Summation	sum from n=1 to infinity of 1/(4n^2-1)	$\sum_{n = 1}^{\infty} \frac{1}{4 n^{2} - 1}$
65948	Evaluate the Summation	sum from n=1 to infinity of 2(1/3)^(n-1)	$\sum_{n = 1}^{\infty} 2 {(\frac{1}{3})}^{n - 1}$
65949	Evaluate the Summation	sum from n=1 to infinity of 2(3/2)^(n-1)	$\sum_{n = 1}^{\infty} 2 {(\frac{3}{2})}^{n - 1}$
65950	Evaluate the Summation	sum from n=1 to infinity of 2^n	$\sum_{n = 1}^{\infty} 2^{n}$
65951	Evaluate the Summation	sum from n=1 to infinity of 2n-3	$\sum_{n = 1}^{\infty} 2 n - 3$
65952	Evaluate the Summation	sum from n=1 to infinity of 3(1/2)^(n-1)	$\sum_{n = 1}^{\infty} 3 {(\frac{1}{2})}^{n - 1}$
65953	Evaluate the Summation	sum from k=2 to 6 of (-1)^k(7-k)k	$\sum_{k = 2}^{6} {(- 1)}^{k} (7 - k) k$
65954	Evaluate the Summation	sum from k=2 to 4 of -k^2+k-3	$\sum_{k = 2}^{4} - k^{2} + k - 3$
65955	Evaluate the Summation	sum from k=2 to 4 of k(k+3)	$\sum_{k = 2}^{4} k (k + 3)$
65956	Evaluate the Summation	sum from k=2 to 4 of k^3	$\sum_{k = 2}^{4} k^{3}$
65957	Evaluate the Summation	sum from k=2 to 6 of 4k+3	$\sum_{k = 2}^{6} 4 k + 3$
65958	Evaluate the Summation	sum from k=2 to 6 of k^2+5	$\sum_{k = 2}^{6} k^{2} + 5$
65959	Evaluate the Summation	sum from k=5 to 13 of (5-2k)/8	$\sum_{k = 5}^{13} \frac{5 - 2 k}{8}$
65960	Evaluate the Summation	sum from k=5 to 20 of k^3	$\sum_{k = 5}^{20} k^{3}$
65961	Evaluate the Summation	sum from k=5 to 9 of sin(kpi)	$\sum_{k = 5}^{9} \sin (k π)$
65962	Evaluate the Summation	sum from k=4 to 5 of k^2+2k	$\sum_{k = 4}^{5} k^{2} + 2 k$
65963	Evaluate the Summation	sum from k=4 to 5 of k^2-2k	$\sum_{k = 4}^{5} k^{2} - 2 k$
65964	Evaluate the Summation	sum from k=5 to 4 of 2*5k	$\sum_{k = 5}^{4} 2 \cdot 5 k$
65965	Evaluate the Summation	sum from k=-2 to 2 of 2k+1	$\sum_{k = - 2}^{2} 2 k + 1$
65966	Evaluate the Summation	sum from k=1 to n of k^3	$\sum_{k = 1}^{n} k^{3}$
65967	Evaluate the Summation	sum from k=1 to n of k+6	$\sum_{k = 1}^{n} k + 6$
65968	Evaluate the Summation	sum from k=1 to n of (k+1)^2	$\sum_{k = 1}^{n} {(k + 1)}^{2}$
65969	Evaluate the Summation	sum from k=1 to 9 of 2^(k-1)	$\sum_{k = 1}^{9} 2^{k - 1}$
65970	Evaluate the Summation	sum from k=1 to 7 of k^3	$\sum_{k = 1}^{7} k^{3}$
65971	Evaluate the Summation	sum from k=1 to 8 of 10(-2/3)^k	$\sum_{k = 1}^{8} 10 {(- \frac{2}{3})}^{k}$
65972	Evaluate the Summation	sum from k=1 to 7 of 36-2^k	$\sum_{k = 1}^{7} 36 - 2^{k}$
65973	Evaluate the Summation	sum from k=1 to 10 of 3k+1	$\sum_{k = 1}^{10} 3 k + 1$
65974	Evaluate the Summation	sum from k=1 to 10 of 3k+7	$\sum_{k = 1}^{10} 3 k + 7$
65975	Evaluate the Summation	sum from k=1 to 10 of k^3-k	$\sum_{k = 1}^{10} k^{3} - k$
65976	Evaluate the Summation	sum from k=1 to 10 of k+1	$\sum_{k = 1}^{10} k + 1$
65977	Evaluate the Summation	sum from k=1 to 12 of 9	$\sum_{k = 1}^{12} 9$
65978	Evaluate the Summation	sum from k=1 to 15 of 5+3(k-1)	$\sum_{k = 1}^{15} 5 + 3 (k - 1)$
65979	Evaluate the Summation	sum from k=0 to 9 of 2^k	$\sum_{k = 0}^{9} 2^{k}$
65980	Evaluate the Summation	sum from k=1 to infinity of (-1/2)^k	$\sum_{k = 1}^{\infty} {(- \frac{1}{2})}^{k}$
65981	Evaluate the Summation	sum from k=1 to infinity of 1/6*7^(k-1)	$\sum_{k = 1}^{\infty} \frac{1}{6} \cdot 7^{k - 1}$
65982	Evaluate the Summation	sum from k=1 to infinity of 7(1/3)^(k-1)	$\sum_{k = 1}^{\infty} 7 {(\frac{1}{3})}^{k - 1}$
65983	Evaluate the Summation	sum from k=1 to infinity of -3(-1/3)^(k-1)	$\sum_{k = 1}^{\infty} - 3 {(- \frac{1}{3})}^{k - 1}$
65984	Evaluate the Summation	sum from k=1 to infinity of 3(2/3)^k	$\sum_{k = 1}^{\infty} 3 {(\frac{2}{3})}^{k}$
65985	Evaluate the Summation	sum from k=1 to 17 of 7	$\sum_{k = 1}^{17} 7$
65986	Evaluate the Summation	sum from k=1 to 17 of 4k+4	$\sum_{k = 1}^{17} 4 k + 4$
65987	Evaluate the Summation	sum from k=1 to 20 of 5k+3	$\sum_{k = 1}^{20} 5 k + 3$
65988	Evaluate the Summation	sum from k=1 to 21 of k^2	$\sum_{k = 1}^{21} k^{2}$
65989	Evaluate the Summation	sum from k=1 to 500 of 7	$\sum_{k = 1}^{500} 7$
65990	Evaluate the Summation	sum from k=1 to 30 of k^2+2	$\sum_{k = 1}^{30} k^{2} + 2$
65991	Evaluate the Summation	sum from k=1 to 250 of 2	$\sum_{k = 1}^{250} 2$
65992	Evaluate the Summation	sum from k=1 to 3 of k^3-6	$\sum_{k = 1}^{3} k^{3} - 6$
65993	Evaluate the Summation	sum from k=1 to 3 of k	$\sum_{k = 1}^{3} k$
65994	Evaluate the Summation	sum from k=1 to 42 of k	$\sum_{k = 1}^{42} k$
65995	Evaluate the Summation	sum from k=1 to 3 of (1/2)^(k+1)	$\sum_{k = 1}^{3} {(\frac{1}{2})}^{k + 1}$
65996	Evaluate the Summation	sum from k=1 to 3 of 1/(k^2+4)	$\sum_{k = 1}^{3} \frac{1}{k^{2} + 4}$
65997	Evaluate the Summation	sum from k=1 to 4 of 1/(3k)	$\sum_{k = 1}^{4} \frac{1}{3 k}$
65998	Evaluate the Summation	sum from k=1 to 4 of 1/(k-k^2)	$\sum_{k = 1}^{4} \frac{1}{k - k^{2}}$
65999	Evaluate the Summation	sum from k=1 to 4 of k^2-3	$\sum_{k = 1}^{4} k^{2} - 3$
66000	Evaluate the Summation	sum from k=1 to 5 of (-3)^(k-1)	$\sum_{k = 1}^{5} {(- 3)}^{k - 1}$