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 Worksheet

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Sums - Series of Integers M to N - Equation to Sum
1
What is the sum of the integers from 5 to 14 based on this equation?
A LaTex expression showing 14(14+1) over 2 - (5-1)5 over 2
a
90
b
81
c
110
d
99
e
95
2
What is the sum of the integers from 3 to 8 based on this equation?
A LaTex expression showing 8(8+1) over 2 - (3-1)3 over 2
a
30
b
35
c
42
d
25
e
33
3
What is the sum of the integers from 2 to 8 based on this equation?
A LaTex expression showing 8(8+1) over 2 - (2-1)2 over 2
a
36
b
35
c
44
d
27
e
33
4
What is the sum of the integers from 5 to 11 based on this equation?
A LaTex expression showing 11(11+1) over 2 - (5-1)5 over 2
a
45
b
51
c
60
d
68
e
56
5
A LaTex expression showing 14(14+1) over 2 - (4-1)4 over 2
What is the sum of the integers from 4 to 14 based on this equation?
a
95
b
102
c
114
d
99
e
85
6
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
99
b
70
c
90
d
84
e
77
7
What is the sum of the integers from 8 to 14 based on this equation?
A LaTex expression showing 14(14+1) over 2 - (8-1)8 over 2
a
69
b
77
c
92
d
63
e
84
8
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
60
b
68
c
72
d
75
e
85