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Sums - Series of Integers M to N - Equation to Sum (Level 3)

This math topic focuses on finding the sum of a series of integers between two specific numbers (M to N) using equations. The problems require students to apply formulas typically used for summations of integers, and to compute these sums correctly. Each question presents a different range of integers for which students need to find the sum, based on the given equations represented in a LaTeX format. Multiple choice answers are provided for each question, testing students’ ability to solve for and identify the correct sum within the choices offered.

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 Sum

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What is the sum of the integers from 7 to 21 based on this equation?

21(21+1)2(71)72\frac{21(21+1)}{2} - \frac{(7-1)7}{2}

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

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Math worksheet on 'Sums - Series of Integers M to N - Equation to Sum (Level 3)'. Part of a broader unit on 'Patterns and Sums - Advanced' Learn online: app.mobius.academy/math/units/patterns_and_sums_advanced/
1
What is the sum of the integers from 18 to 31 based on this equation?
A LaTex expression showing 31(31+1) over 2 - (18-1)18 over 2
a
325
b
312
c
343
d
375
e
360
2
What is the sum of the integers from 2 to 19 based on this equation?
A LaTex expression showing 19(19+1) over 2 - (2-1)2 over 2
a
190
b
209
c
187
d
170
e
189
3
What is the sum of the integers from 4 to 20 based on this equation?
A LaTex expression showing 20(20+1) over 2 - (4-1)4 over 2
a
184
b
200
c
225
d
204
e
207
4
What is the sum of the integers from 1 to 14 based on this equation?
A LaTex expression showing 14(14+1) over 2
a
105
b
91
c
104
d
120
5
What is the sum of the integers from 15 to 32 based on this equation?
A LaTex expression showing 32(32+1) over 2 - (15-1)15 over 2
a
423
b
391
c
437
d
456
e
408
6
What is the sum of the integers from 8 to 28 based on this equation?
A LaTex expression showing 28(28+1) over 2 - (8-1)8 over 2
a
370
b
385
c
350
d
407
e
378
7
What is the sum of the integers from 15 to 25 based on this equation?
A LaTex expression showing 25(25+1) over 2 - (15-1)15 over 2
a
220
b
195
c
205
d
246
e
234