Standard Level
6.03 Arithmetic series
Interactive practice questions
The sum of the terms of a sequence is:
always divergent
A
a series
B
always finite
C
Easy
< 1min
Find the sum of all integers between $20$20 and $50$50, inclusive, that are divisible by $6$6.
Medium
2min
Consider the series:
$\frac{1}{1^3}+\frac{1}{2^3}+\frac{1}{3^3}+\frac{1}{4^3}+\frac{1}{5^3}$113+123+133+143+153
Rewrite the series using sigma notation in the form $\sum_{k=\editable{}}^{\editable{}}\editable{}$∑k=.
Easy
1min
Write the following series using summation notation.
$\frac{1}{3\times1}+\frac{1}{3\times2}+\frac{1}{3\times3}+\text{. . .}+\frac{1}{3\times7}$13×1+13×2+13×3+. . .+13×7
Easy
< 1min
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