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

This math topic focuses on calculating the sum of a series of integers from M to N using summation notation and formula conversion. It integrates problem-solving skills as learners translate summation notation expressions into their corresponding equations for determining the sum of sequences. The realistic examples provided in the questions help students understand and apply the summation formula and adjustments for different series starting points. This forms a part of advanced practice within the broader context of patterns and sums.

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

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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What equation would let you calculate this summation form?

∑n=110n\sum_{n=1}^{10}n

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

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Math worksheet on 'Sums - Series of Integers M to N - Summation Form to Equation (Level 1)'. Part of a broader unit on 'Patterns and Sums - Advanced' Learn online: app.mobius.academy/math/units/patterns_and_sums_advanced/
1
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=16 to the power of 22 n
a A LaTex expression showing 22(22+1) over 2
b A LaTex expression showing 22(22+1) over 2 - (16-1)16 over 2
c A LaTex expression showing 2 over 22(22+1)
2
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=6 to the power of 15 n
a A LaTex expression showing 15(15+1) over 2
b A LaTex expression showing 16(16+1) over 2 - (6-1)6 over 2
c A LaTex expression showing 2 over 15(15+1)
d A LaTex expression showing 15(15+1) over 2 - (6-1)6 over 2
3
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=8 to the power of 18 n
a A LaTex expression showing 18(18+1) over 2
b A LaTex expression showing 18(18+1) over 2 - (8-1)8 over 2
c A LaTex expression showing 17(17+1) over 2 - (8-1)8 over 2
d A LaTex expression showing 19(19+1) over 2 - (8-1)8 over 2
4
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=5 to the power of 10 n
a A LaTex expression showing 10(10+1) over 2 - (6-1)6 over 2
b A LaTex expression showing 2 over 10(10+1)
c A LaTex expression showing 10(10+1) over 2
d A LaTex expression showing 10(10+1) over 2 - (5-1)5 over 2
5
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=15 to the power of 21 n
a A LaTex expression showing 21(21+1) over 2 - (15-1)15 over 2
b A LaTex expression showing 22(22+1) over 2 - (15-1)15 over 2
c A LaTex expression showing 21(21+1) over 2
d A LaTex expression showing 2 over 21(21+1)
6
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=11 to the power of 17 n
a A LaTex expression showing 2 over 17(17+1)
b A LaTex expression showing 17(17+1) over 2 - (12-1)12 over 2
c A LaTex expression showing 17(17+1) over 2 - (11-1)11 over 2
d A LaTex expression showing 17(17+1) over 2
7
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=8 to the power of 15 n
a A LaTex expression showing 14(14+1) over 2 - (8-1)8 over 2
b A LaTex expression showing 2 over 15(15+1)
c A LaTex expression showing 15(15+1) over 2 - (8-1)8 over 2