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

This math topic focuses on teaching students how to compute the sum of integers between two specific numbers. It explores deriving equations using summation formulas, notably the sum of an arithmetic series. Each problem provides a sequence of consecutive integers, and the student must determine the summation equation that correctly represents the total sum of these integers. Options for the correct equation are presented in LaTeX-rendered images, enhancing understanding of mathematical notation. This is an advanced exercise in recognizing patterns and applying summation formulas correctly.

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 - Addition to Equation

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


What equation would give you the sum of this set of integers?

8 + 9 + ... + 17 + 18

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

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Math worksheet on 'Sums - Series of Integers M to N - Addition 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 give you the sum of this set of integers?
9 + 10 + ... + 15 + 16
a A LaTex expression showing 2 over 16(16+1)
b A LaTex expression showing 16(16+1) over 2 - (9-1)9 over 2
c A LaTex expression showing 16(16+1) over 2
d A LaTex expression showing 15(15+1) over 2 - (9-1)9 over 2
2
What equation would give you the sum of this set of integers?
18 + 19 + ... + 23 + 24
a A LaTex expression showing 23(23+1) over 2 - (18-1)18 over 2
b A LaTex expression showing 2 over 24(24+1)
c A LaTex expression showing 24(24+1) over 2
d A LaTex expression showing 24(24+1) over 2 - (18-1)18 over 2
e A LaTex expression showing 25(25+1) over 2 - (18-1)18 over 2
3
What equation would give you the sum of this set of integers?
2 + 3 + ... + 8 + 9
a A LaTex expression showing 9(9+1) over 2 - (2-1)2 over 2
b A LaTex expression showing 9(9+1) over 2 - (3-1)3 over 2
c A LaTex expression showing 10(10+1) over 2 - (2-1)2 over 2
d A LaTex expression showing 8(8+1) over 2 - (2-1)2 over 2
4
What equation would give you the sum of this set of integers?
9 + 10 + ... + 16 + 17
a A LaTex expression showing 18(18+1) over 2 - (9-1)9 over 2
b A LaTex expression showing 17(17+1) over 2 - (8-1)8 over 2
c A LaTex expression showing 17(17+1) over 2 - (9-1)9 over 2
d A LaTex expression showing 17(17+1) over 2
5
What equation would give you the sum of this set of integers?
15 + 16 + ... + 20 + 21
a A LaTex expression showing 21(21+1) over 2 - (15-1)15 over 2
b A LaTex expression showing 21(21+1) over 2 - (16-1)16 over 2
c A LaTex expression showing 20(20+1) over 2 - (15-1)15 over 2
d A LaTex expression showing 2 over 21(21+1)
6
What equation would give you the sum of this set of integers?
19 + 20 + ... + 23 + 24
a A LaTex expression showing 2 over 24(24+1)
b A LaTex expression showing 24(24+1) over 2 - (19-1)19 over 2
c A LaTex expression showing 24(24+1) over 2 - (18-1)18 over 2
d A LaTex expression showing 25(25+1) over 2 - (19-1)19 over 2
e A LaTex expression showing 23(23+1) over 2 - (19-1)19 over 2
7
What equation would give you the sum of this set of integers?
15 + 16 + ... + 19 + 20
a A LaTex expression showing 2 over 20(20+1)
b A LaTex expression showing 19(19+1) over 2 - (15-1)15 over 2
c A LaTex expression showing 20(20+1) over 2 - (16-1)16 over 2
d A LaTex expression showing 20(20+1) over 2 - (15-1)15 over 2
e A LaTex expression showing 20(20+1) over 2