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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 13 to 23, 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 2 to 12, inclusive
What equation would give you this sum?
a A LaTex expression showing 12(12+1) over 2
b A LaTex expression showing 13(13+1) over 2 - (2-1)2 over 2
c A LaTex expression showing 11(11+1) over 2 - (2-1)2 over 2
d A LaTex expression showing 2 over 12(12+1)
e A LaTex expression showing 12(12+1) over 2 - (2-1)2 over 2
2
The sum of all integers from 2 to 8, inclusive
What equation would give you this sum?
a A LaTex expression showing 8(8+1) over 2
b A LaTex expression showing 8(8+1) over 2 - (2-1)2 over 2
c A LaTex expression showing 9(9+1) over 2 - (2-1)2 over 2
3
The sum of all integers from 7 to 16, inclusive
What equation would give you this sum?
a A LaTex expression showing 16(16+1) over 2 - (6-1)6 over 2
b A LaTex expression showing 16(16+1) over 2 - (8-1)8 over 2
c A LaTex expression showing 15(15+1) over 2 - (7-1)7 over 2
d A LaTex expression showing 2 over 16(16+1)
e A LaTex expression showing 16(16+1) over 2 - (7-1)7 over 2
4
The sum of all integers from 8 to 16, inclusive
What equation would give you this sum?
a A LaTex expression showing 15(15+1) over 2 - (8-1)8 over 2
b A LaTex expression showing 16(16+1) over 2 - (7-1)7 over 2
c A LaTex expression showing 16(16+1) over 2 - (9-1)9 over 2
d A LaTex expression showing 16(16+1) over 2 - (8-1)8 over 2
e A LaTex expression showing 2 over 16(16+1)
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 5 to 12, 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 11(11+1) over 2 - (5-1)5 over 2
c A LaTex expression showing 12(12+1) over 2 - (4-1)4 over 2
d A LaTex expression showing 13(13+1) over 2 - (5-1)5 over 2
7
The sum of all integers from 9 to 19, inclusive
What equation would give you this sum?
a A LaTex expression showing 20(20+1) over 2 - (9-1)9 over 2
b A LaTex expression showing 2 over 19(19+1)
c A LaTex expression showing 19(19+1) over 2 - (9-1)9 over 2
d A LaTex expression showing 19(19+1) over 2
e A LaTex expression showing 18(18+1) over 2 - (9-1)9 over 2