Sums - Series of Integers 1 to N - Summation Form to Equation (Level 1)

This math topic practices finding equations that calculate the sum of series of integers from 1 up to a given number \( N \). It emphasizes deriving the direct formula \( \frac{n(n+1)}{2} \) for the sum of the first \( n \) numbers, based on given summation expressions. The exercises involve choosing the correct formula from multiple choice answers, requiring learners to manipulate and understand the summation notation and its corresponding equation for calculating series sums, as part of broader number pattern analysis skills.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Sums - Series of Integers 1 to N - Summation Form to Equation

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What equation would let you calculate this summation form?

n=116n\sum_{n=1}^{16}n

Sums - Series of Integers 1 to N - Summation Form to Equation Worksheet

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Math worksheet on 'Sums - Series of Integers 1 to N - Summation Form to Equation (Level 1)'. Part of a broader unit on 'Patterns and Sums - Practice' Learn online: app.mobius.academy/math/units/patterns_and_sums_practice/
1
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 21 n
a A LaTex expression showing 22(22+1) over 2
b A LaTex expression showing 2 over 21(21+1)
c A LaTex expression showing 21(21+1) over 2
d A LaTex expression showing 20(20+1) over 2
2
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 12 n
a A LaTex expression showing 12(12+1) over 12
b A LaTex expression showing 2 over 12(12+1)
c A LaTex expression showing 12(12+1) over 2
d A LaTex expression showing 13(13+1) over 2
3
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 11 n
a A LaTex expression showing 11(11+1) over 2
b A LaTex expression showing 11(11+1) over 11
c A LaTex expression showing 10(10+1) over 2
d A LaTex expression showing 2 over 11(11+1)
4
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 14 n
a A LaTex expression showing 14(14+1) over 14
b A LaTex expression showing 15(15+1) over 2
c A LaTex expression showing 13(13+1) over 2
d A LaTex expression showing 14(14+1) over 2
5
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 13 n
a A LaTex expression showing 2 over 13(13+1)
b A LaTex expression showing 12(12+1) over 2
c A LaTex expression showing 13(13+1) over 13
d A LaTex expression showing 13(13+1) over 2
6
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 22 n
a A LaTex expression showing 21(21+1) over 2
b A LaTex expression showing 22(22+1) over 2
c A LaTex expression showing 2 over 22(22+1)
d A LaTex expression showing 23(23+1) over 2
7
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 19 n
a A LaTex expression showing 20(20+1) over 2
b A LaTex expression showing 19(19+1) over 2
c A LaTex expression showing 2 over 19(19+1)
d A LaTex expression showing 19(19+1) over 19