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.

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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 9 to 19 based on this equation?
A LaTex expression showing 19(19+1) over 2 - (9-1)9 over 2
a
174
b
154
c
162
d
135
e
145
2
What is the sum of the integers from 6 to 14 based on this equation?
A LaTex expression showing 14(14+1) over 2 - (6-1)6 over 2
a
95
b
84
c
105
d
76
e
90
3
What is the sum of the integers from 6 to 20 based on this equation?
A LaTex expression showing 20(20+1) over 2 - (6-1)6 over 2
a
175
b
189
c
216
d
195
e
200
4
What is the sum of the integers from 7 to 19 based on this equation?
A LaTex expression showing 19(19+1) over 2 - (7-1)7 over 2
a
189
b
150
c
162
d
175
e
169
5
What is the sum of the integers from 3 to 15 based on this equation?
A LaTex expression showing 15(15+1) over 2 - (3-1)3 over 2
a
114
b
119
c
117
d
133
e
102
6
What is the sum of the integers from 7 to 22 based on this equation?
A LaTex expression showing 22(22+1) over 2 - (7-1)7 over 2
a
210
b
232
c
238
d
255
e
225
7
What is the sum of the integers from 9 to 18 based on this equation?
A LaTex expression showing 18(18+1) over 2 - (9-1)9 over 2
a
135
b
126
c
154
d
143
e
117
8
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
231
b
221
c
210
d
245
e
198