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

This math topic focuses on finding the sum of a series of consecutive integers between two given limits (M and N) by translating a given word problem into a mathematical equation. The problems employ the formula for the sum of an arithmetic series, encouraging learners to identify the correct parameters (starting and ending numbers) and correctly apply the formula to compute the sum. Each question presents multiple equations in LaTeX form as potential solutions, challenging students to select the correct one that represents the sum described in the text.

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 - Text to Equation

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What equation would give you this sum?

The sum of all integers from 1 to 10, inclusive

Sums - Series of Integers M to N - Text to Equation Worksheet

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Math worksheet on 'Sums - Series of Integers M to N - Text 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
The sum of all integers from 10 to 18, inclusive
What equation would give you this sum?
a A LaTex expression showing 2 over 18(18+1)
b A LaTex expression showing 19(19+1) over 2 - (10-1)10 over 2
c A LaTex expression showing 17(17+1) over 2 - (10-1)10 over 2
d A LaTex expression showing 18(18+1) over 2 - (10-1)10 over 2
e A LaTex expression showing 18(18+1) over 2
2
The sum of all integers from 5 to 11, inclusive
What equation would give you this sum?
a A LaTex expression showing 12(12+1) over 2 - (5-1)5 over 2
b A LaTex expression showing 2 over 11(11+1)
c A LaTex expression showing 10(10+1) over 2 - (5-1)5 over 2
d A LaTex expression showing 11(11+1) over 2 - (5-1)5 over 2
3
The sum of all integers from 3 to 10, inclusive
What equation would give you this sum?
a A LaTex expression showing 2 over 10(10+1)
b A LaTex expression showing 10(10+1) over 2
c A LaTex expression showing 11(11+1) over 2 - (3-1)3 over 2
d A LaTex expression showing 10(10+1) over 2 - (3-1)3 over 2
4
The sum of all integers from 11 to 16, inclusive
What equation would give you this sum?
a A LaTex expression showing 15(15+1) over 2 - (11-1)11 over 2
b A LaTex expression showing 16(16+1) over 2 - (11-1)11 over 2
c A LaTex expression showing 16(16+1) over 2
d A LaTex expression showing 16(16+1) over 2 - (10-1)10 over 2
5
The sum of all integers from 9 to 16, inclusive
What equation would give you this sum?
a A LaTex expression showing 16(16+1) over 2
b A LaTex expression showing 17(17+1) over 2 - (9-1)9 over 2
c A LaTex expression showing 16(16+1) over 2 - (9-1)9 over 2
6
The sum of all integers from 16 to 22, inclusive
What equation would give you this sum?
a A LaTex expression showing 22(22+1) over 2
b A LaTex expression showing 2 over 22(22+1)
c A LaTex expression showing 22(22+1) over 2 - (16-1)16 over 2
d A LaTex expression showing 21(21+1) over 2 - (16-1)16 over 2
7
The sum of all integers from 14 to 20, inclusive
What equation would give you this sum?
a A LaTex expression showing 19(19+1) over 2 - (14-1)14 over 2
b A LaTex expression showing 20(20+1) over 2 - (14-1)14 over 2
c A LaTex expression showing 20(20+1) over 2 - (15-1)15 over 2
d A LaTex expression showing 20(20+1) over 2