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Sums - Series of Integers M to N - Equation to Sum (Level 2)

This math topic covers the calculation of the sum of a series of consecutive integers between two given numbers \(M\) and \(N\) using a specific formula. The problems provide an equation in each case and require finding the correct sum from multiple choices. Each scenario uses this formula to subtract the sum of integers from 1 to \(M-1\) from the sum of integers from 1 to \(N\), effectively isolating the sum from \(M\) to \(N\). The advanced level of these problems suggests they enhance skills in arithmetic sequences and algebraic manipulation.

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 10 to 24 based on this equation?

24(24+1)2−(10−1)102\frac{24(24+1)}{2} - \frac{(10-1)10}{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 2)'. 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 2 to 12 based on this equation?
A LaTex expression showing 12(12+1) over 2 - (2-1)2 over 2
a
90
b
77
c
75
d
65
e
78
2
What is the sum of the integers from 6 to 18 based on this equation?
A LaTex expression showing 18(18+1) over 2 - (6-1)6 over 2
a
156
b
175
c
161
d
150
e
138
3
What is the sum of the integers from 5 to 20 based on this equation?
A LaTex expression showing 20(20+1) over 2 - (5-1)5 over 2
a
200
b
180
c
221
d
204
e
195
4
What is the sum of the integers from 10 to 24 based on this equation?
A LaTex expression showing 24(24+1) over 2 - (10-1)10 over 2
a
264
b
280
c
245
d
231
e
255
5
What is the sum of the integers from 2 to 14 based on this equation?
A LaTex expression showing 14(14+1) over 2 - (2-1)2 over 2
a
90
b
105
c
102
d
119
e
104
6
What is the sum of the integers from 11 to 23 based on this equation?
A LaTex expression showing 23(23+1) over 2 - (11-1)11 over 2
a
221
b
198
c
210
d
231
e
245
7
What is the sum of the integers from 13 to 21 based on this equation?
A LaTex expression showing 21(21+1) over 2 - (13-1)13 over 2
a
165
b
140
c
153
d
175
e
132