This math topic focuses on formulating equations to find the sum of all integers from 1 to a given number, N. It practices deriving formulas from sequences of integers, specifically using the sum formula for the first N natural numbers. The problems require translating a textual description of a number series into an algebraic equation representing the total sum. Each problem presents multiple choice answers, showcasing different equations to challenge understanding of the underlying mathematical principle. This is part of a broader study on patterning and 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 - Text to Equation Worksheet

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Sums - Series of Integers 1 to N - Text to Equation
1
The sum of all integers from 1 to 21, inclusive
What equation would give you this sum?
a A LaTex expression showing 20(20+1) over 2
b A LaTex expression showing 2 over 21(21+1)
c A LaTex expression showing 21(21+1) over 21
d A LaTex expression showing 22(22+1) over 2
e A LaTex expression showing 21(21+1) over 2
2
The sum of all integers from 1 to 15, inclusive
What equation would give you this sum?
a A LaTex expression showing 15(15+1) over 2
b A LaTex expression showing 2 over 15(15+1)
c A LaTex expression showing 15(15+1) over 15
3
The sum of all integers from 1 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
c A LaTex expression showing 2 over 12(12+1)
4
The sum of all integers from 1 to 14, inclusive
What equation would give you this sum?
a A LaTex expression showing 14(14+1) over 2
b A LaTex expression showing 2 over 14(14+1)
c A LaTex expression showing 14(14+1) over 14
d A LaTex expression showing 15(15+1) over 2
5
The sum of all integers from 1 to 23, inclusive
What equation would give you this sum?
a A LaTex expression showing 23(23+1) over 23
b A LaTex expression showing 2 over 23(23+1)
c A LaTex expression showing 23(23+1) over 2
d A LaTex expression showing 24(24+1) over 2
6
The sum of all integers from 1 to 17, inclusive
What equation would give you this sum?
a A LaTex expression showing 17(17+1) over 2
b A LaTex expression showing 16(16+1) over 2
c A LaTex expression showing 18(18+1) over 2
d A LaTex expression showing 2 over 17(17+1)
7
The sum of all integers from 1 to 22, inclusive
What equation would give you this sum?
a A LaTex expression showing 22(22+1) over 22
b A LaTex expression showing 23(23+1) over 2
c A LaTex expression showing 22(22+1) over 2
d A LaTex expression showing 2 over 22(22+1)
8
The sum of all integers from 1 to 11, inclusive
What equation would give you this sum?
a A LaTex expression showing 10(10+1) over 2
b A LaTex expression showing 11(11+1) over 2
c A LaTex expression showing 12(12+1) over 2
d A LaTex expression showing 2 over 11(11+1)