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Sums - Series of Integers M to N - Equation to Sum (Level 1)

This math topic focuses on calculating the sum of integers within a specified range using a formula. The problems require determining the sum of consecutive integers from a given lower bound \( M \) to an upper bound \( N \), using an equation in LaTeX format. The equations incorporate the method of summing the first \( N \) integers and subtracting the sum of the first \( M-1 \) integers, leveraging the properties of arithmetic sequences. Students practice these skills through multiple-choice questions, each offering different numeric options as potential answers.

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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

What is the sum of the integers from 3 to 9 based on this equation?

9(9+1)2−(3−1)32\frac{9(9+1)}{2} - \frac{(3-1)3}{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 1)'. 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 7 to 14 based on this equation?
A LaTex expression showing 14(14+1) over 2 - (7-1)7 over 2
a
70
b
84
c
99
d
77
e
90
2
What is the sum of the integers from 6 to 13 based on this equation?
A LaTex expression showing 13(13+1) over 2 - (6-1)6 over 2
a
81
b
90
c
63
d
76
e
70
3
What is the sum of the integers from 4 to 12 based on this equation?
A LaTex expression showing 12(12+1) over 2 - (4-1)4 over 2
a
85
b
60
c
68
d
75
e
72
4
What is the sum of the integers from 2 to 9 based on this equation?
A LaTex expression showing 9(9+1) over 2 - (2-1)2 over 2
a
42
b
35
c
44
d
54
e
45
5
What is the sum of the integers from 9 to 15 based on this equation?
A LaTex expression showing 15(15+1) over 2 - (9-1)9 over 2
a
100
b
75
c
92
d
69
e
84
6
What is the sum of the integers from 4 to 9 based on this equation?
A LaTex expression showing 9(9+1) over 2 - (4-1)4 over 2
a
35
b
42
c
30
d
49
e
39
7
What is the sum of the integers from 4 to 10 based on this equation?
A LaTex expression showing 10(10+1) over 2 - (4-1)4 over 2
a
52
b
60
c
39
d
45
e
49