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 Worksheet

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Sums - Series of Integers M to N - Addition to Equation
1
What equation would give you the sum of this set of integers?
7 + 8 + ... + 15 + 16
a A LaTex expression showing 2 over 16(16+1)
b A LaTex expression showing 16(16+1) over 2 - (7-1)7 over 2
c A LaTex expression showing 15(15+1) over 2 - (7-1)7 over 2
d A LaTex expression showing 16(16+1) over 2
2
What equation would give you the sum of this set of integers?
15 + 16 + ... + 20 + 21
a A LaTex expression showing 20(20+1) over 2 - (15-1)15 over 2
b A LaTex expression showing 21(21+1) over 2 - (15-1)15 over 2
c A LaTex expression showing 2 over 21(21+1)
d A LaTex expression showing 21(21+1) over 2 - (16-1)16 over 2
3
What equation would give you the sum of this set of integers?
10 + 11 + ... + 18 + 19
a A LaTex expression showing 20(20+1) over 2 - (10-1)10 over 2
b A LaTex expression showing 18(18+1) over 2 - (10-1)10 over 2
c A LaTex expression showing 2 over 19(19+1)
d A LaTex expression showing 19(19+1) over 2 - (10-1)10 over 2
4
What equation would give you the sum of this set of integers?
6 + 7 + ... + 14 + 15
a A LaTex expression showing 14(14+1) over 2 - (6-1)6 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
e A LaTex expression showing 15(15+1) over 2 - (6-1)6 over 2
5
What equation would give you the sum of this set of integers?
4 + 5 + ... + 8 + 9
a A LaTex expression showing 8(8+1) over 2 - (4-1)4 over 2
b A LaTex expression showing 9(9+1) over 2 - (3-1)3 over 2
c A LaTex expression showing 2 over 9(9+1)
d A LaTex expression showing 9(9+1) over 2 - (4-1)4 over 2
6
What equation would give you the sum of this set of integers?
8 + 9 + ... + 12 + 13
a A LaTex expression showing 13(13+1) over 2 - (7-1)7 over 2
b A LaTex expression showing 13(13+1) over 2
c A LaTex expression showing 14(14+1) over 2 - (8-1)8 over 2
d A LaTex expression showing 13(13+1) over 2 - (8-1)8 over 2
7
What equation would give you the sum of this set of integers?
7 + 8 + ... + 13 + 14
a A LaTex expression showing 2 over 14(14+1)
b A LaTex expression showing 14(14+1) over 2 - (7-1)7 over 2
c A LaTex expression showing 15(15+1) over 2 - (7-1)7 over 2
8
What equation would give you the sum of this set of integers?
8 + 9 + ... + 14 + 15
a A LaTex expression showing 2 over 15(15+1)
b A LaTex expression showing 15(15+1) over 2
c A LaTex expression showing 14(14+1) over 2 - (8-1)8 over 2
d A LaTex expression showing 15(15+1) over 2 - (8-1)8 over 2
e A LaTex expression showing 15(15+1) over 2 - (9-1)9 over 2