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Sums - Series of Integers M to N - Equation to Text

Level 1

These problems focus on interpreting mathematical expressions to find the sum of consecutive integers within specified bounds. The tasks involve converting algebraic expressions that represent sums of series (using formulas such as \(\frac{n(n+1)}{2}\) and variations of it subtracting a partial sum) into verbal descriptions of the range of integers summed. Each problem requires understanding of sum formulas and manipulation of sequences to ascertain which consecutive integers are being summed. This math topic is part of a larger unit on advanced patterns and sums.

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 - Equation to Text Worksheet

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Sums - Series of Integers M to N - Equation to Text
1
What would describe the sum this equation gives you?
A LaTex expression showing 14(14+1) over 2 - (9-1)9 over 2
a
The sum of all integers from 8 to 14, inclusive
b
The sum of all integers from 9 to 13, inclusive
c
The sum of all integers from 10 to 14, inclusive
d
The sum of all integers from 9 to 14, inclusive
e
The sum of all integers from 9 to 15, inclusive
2
What would describe the sum this equation gives you?
A LaTex expression showing 17(17+1) over 2 - (11-1)11 over 2
a
The sum of all integers from 10 to 17, inclusive
b
The sum of all integers from 12 to 17, inclusive
c
The sum of all integers from 11 to 17, inclusive
d
The sum of all integers from 11 to 16, inclusive
e
The sum of all integers from 11 to 18, inclusive
3
What would describe the sum this equation gives you?
A LaTex expression showing 11(11+1) over 2 - (5-1)5 over 2
a
The sum of all integers from 5 to 10, inclusive
b
The sum of all integers from 4 to 11, inclusive
c
The sum of all integers from 6 to 11, inclusive
d
The sum of all integers from 5 to 11, inclusive
e
The sum of all integers from 5 to 12, inclusive
4
What would describe the sum this equation gives you?
A LaTex expression showing 20(20+1) over 2 - (12-1)12 over 2
a
The sum of all integers from 11 to 20, inclusive
b
The sum of all integers from 12 to 20, inclusive
c
The sum of all integers from 12 to 19, inclusive
d
The sum of all integers from 13 to 20, inclusive
e
The sum of all integers from 12 to 21, inclusive
5
What would describe the sum this equation gives you?
A LaTex expression showing 16(16+1) over 2 - (7-1)7 over 2
a
The sum of all integers from 7 to 16, inclusive
b
The sum of all integers from 6 to 16, inclusive
c
The sum of all integers from 7 to 15, inclusive
d
The sum of all integers from 7 to 17, inclusive
e
The sum of all integers from 8 to 16, inclusive
6
What would describe the sum this equation gives you?
A LaTex expression showing 11(11+1) over 2 - (3-1)3 over 2
a
The sum of all integers from 4 to 11, inclusive
b
The sum of all integers from 3 to 11, inclusive
c
The sum of all integers from 2 to 11, inclusive
d
The sum of all integers from 3 to 10, inclusive
e
The sum of all integers from 3 to 12, inclusive
7
What would describe the sum this equation gives you?
A LaTex expression showing 23(23+1) over 2 - (14-1)14 over 2
a
The sum of all integers from 15 to 23, inclusive
b
The sum of all integers from 14 to 23, inclusive
c
The sum of all integers from 14 to 22, inclusive
d
The sum of all integers from 13 to 23, inclusive
e
The sum of all integers from 14 to 24, inclusive
8
What would describe the sum this equation gives you?
A LaTex expression showing 9(9+1) over 2 - (2-1)2 over 2
a
The sum of all integers from 2 to 8, inclusive
b
The sum of all integers from 2 to 9, inclusive
c
The sum of all integers from 1 to 9, inclusive
d
The sum of all integers from 2 to 10, inclusive
e
The sum of all integers from 3 to 9, inclusive