This math topic focuses on finding the sum of a series of consecutive integers (from 1 to N) and associating them with the correct formula. It is aimed at developing skills in using the formula for the sum of an arithmetic series, specifically the sum of the first N natural numbers, which is given by N(N+1)/2. The problems guide students to identify and apply this formula to various series sequences to calculate their sums accurately. This topic is part of a broader study on number patterns.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Sums - Series of Integers 1 to N - Addition to Equation Worksheet

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Sums - Series of Integers 1 to N - Addition to Equation
1
1 + 2 + ... + 14 + 15
What equation would give you the sum of this set of integers?
a A LaTex expression showing 16(16+1) over 2
b A LaTex expression showing 15(15+1) over 2
c A LaTex expression showing 2 over 15(15+1)
2
1 + 2 + ... + 18 + 19
What equation would give you the sum of this set of integers?
a A LaTex expression showing 19(19+1) over 2
b A LaTex expression showing 20(20+1) over 2
c A LaTex expression showing 18(18+1) over 2
3
1 + 2 + ... + 21 + 22
What equation would give you the sum of this set of integers?
a A LaTex expression showing 2 over 22(22+1)
b A LaTex expression showing 22(22+1) over 2
c A LaTex expression showing 21(21+1) over 2
4
1 + 2 + ... + 16 + 17
What equation would give you the sum of this set of integers?
a A LaTex expression showing 17(17+1) over 17
b A LaTex expression showing 16(16+1) over 2
c A LaTex expression showing 17(17+1) over 2
5
1 + 2 + ... + 13 + 14
What equation would give you the sum of this set of integers?
a A LaTex expression showing 15(15+1) over 2
b A LaTex expression showing 13(13+1) over 2
c A LaTex expression showing 14(14+1) over 2
d A LaTex expression showing 2 over 14(14+1)
6
1 + 2 + ... + 20 + 21
What equation would give you the sum of this set of integers?
a A LaTex expression showing 21(21+1) over 21
b A LaTex expression showing 20(20+1) over 2
c A LaTex expression showing 21(21+1) over 2
7
1 + 2 + ... + 8 + 9
What equation would give you the sum of this set of integers?
a A LaTex expression showing 8(8+1) over 2
b A LaTex expression showing 10(10+1) over 2
c A LaTex expression showing 9(9+1) over 2
d A LaTex expression showing 9(9+1) over 9
8
1 + 2 + ... + 22 + 23
What equation would give you the sum of this set of integers?
a A LaTex expression showing 24(24+1) over 2
b A LaTex expression showing 22(22+1) over 2
c A LaTex expression showing 23(23+1) over 23
d A LaTex expression showing 23(23+1) over 2