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

This math topic focuses on converting standard algebraic expressions involving sums of series from integer M to N into their equivalent summation (sigma notation) forms. The problems provide algebraic expressions for the sum of integers within specific ranges and ask students to identify the correct summation formula representation from multiple choices. This set of problems explores the interpretation and formulation of summation equations, aiding in the understanding of sequential addition from one integer to another, an advanced concept within the broader framework 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 - Equation to Summation Form

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

What equation in summation form would describe what this equation calculates?

24(24+1)2−(15−1)152\frac{24(24+1)}{2} - \frac{(15-1)15}{2}

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

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Math worksheet on 'Sums - Series of Integers M to N - Equation to Summation Form (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 in summation form would describe what this equation calculates?
A LaTex expression showing 19(19+1) over 2 - (11-1)11 over 2
a A LaTex expression showing sum of sub n=11 to the power of 19 n+1
b A LaTex expression showing sum of sub n=11 to the power of 18 n
c A LaTex expression showing sum of sub n=11 to the power of 19 n
d A LaTex expression showing sum of sub n=2 to the power of 19 n
2
What equation in summation form would describe what this equation calculates?
A LaTex expression showing 24(24+1) over 2 - (16-1)16 over 2
a A LaTex expression showing sum of sub n=16 to the power of 24 n over 2
b A LaTex expression showing sum of sub n=16 to the power of 24 n+1
c A LaTex expression showing sum of sub n=16 to the power of 24 n
d A LaTex expression showing sum of sub n=16 to the power of 23 n
3
What equation in summation form would describe what this equation calculates?
A LaTex expression showing 23(23+1) over 2 - (15-1)15 over 2
a A LaTex expression showing sum of sub n=15 to the power of 23 n
b A LaTex expression showing sum of sub n=14 to the power of 23 n
c A LaTex expression showing sum of sub n=15 to the power of 23 n over 2
d A LaTex expression showing sum of sub n=15 to the power of 23 n+1
4
What equation in summation form would describe what this equation calculates?
A LaTex expression showing 9(9+1) over 2 - (4-1)4 over 2
a A LaTex expression showing sum of sub n=4 to the power of 9 n over 2
b A LaTex expression showing sum of sub n=2 to the power of 9 n
c A LaTex expression showing sum of sub n=4 to the power of 9 n
d A LaTex expression showing sum of sub n=5 to the power of 9 n
5
What equation in summation form would describe what this equation calculates?
A LaTex expression showing 18(18+1) over 2 - (11-1)11 over 2
a A LaTex expression showing sum of sub n=11 to the power of 17 n
b A LaTex expression showing sum of sub n=11 to the power of 19 n
c A LaTex expression showing sum of sub n=11 to the power of 18 n
d A LaTex expression showing sum of sub n=11 to the power of 18 n over 2
e A LaTex expression showing sum of sub n=2 to the power of 18 n
6
What equation in summation form would describe what this equation calculates?
A LaTex expression showing 21(21+1) over 2 - (12-1)12 over 2
a A LaTex expression showing sum of sub n=2 to the power of 21 n
b A LaTex expression showing sum of sub n=12 to the power of 21 n
c A LaTex expression showing sum of sub n=13 to the power of 21 n
d A LaTex expression showing sum of sub n=12 to the power of 22 n
7
What equation in summation form would describe what this equation calculates?
A LaTex expression showing 10(10+1) over 2
a A LaTex expression showing sum of sub n=2 to the power of 10 n
b A LaTex expression showing sum of sub n=1 to the power of 9 n
c A LaTex expression showing sum of sub n=1 to the power of 10 n
d A LaTex expression showing sum of sub n=1 to the power of 10 n+1