This math topic focuses on finding sums within a series of integers using algebraic formulas. It explores calculating the sum of consecutive integers from M to N through simplified equations, such as the sum of natural numbers formula. Each problem involves identifying the range of numbers that corresponds to an algebraic expression, testing comprehension and application of sum formulas in various scenarios. This topic falls under an advanced segment of learning patterns and sums.

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

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Sums - Series of Integers M to N - Equation to Addition
1
What addition does this equation give you a quicker way to calculate?
A LaTex expression showing 14(14+1) over 2 - (8-1)8 over 2
a
9 + 10 + ... + 13 + 14
b
8 + 9 + ... + 14 + 15
c
7 + 8 + ... + 13 + 14
d
8 + 9 + ... + 13 + 14
e
8 + 9 + ... + 12 + 13
2
What addition does this equation give you a quicker way to calculate?
A LaTex expression showing 21(21+1) over 2 - (16-1)16 over 2
a
17 + 18 + ... + 20 + 21
b
15 + 16 + ... + 20 + 21
c
16 + 17 + ... + 20 + 21
d
16 + 17 + ... + 21 + 22
e
16 + 17 + ... + 19 + 20
3
What addition does this equation give you a quicker way to calculate?
A LaTex expression showing 22(22+1) over 2 - (14-1)14 over 2
a
14 + 15 + ... + 21 + 22
b
13 + 14 + ... + 21 + 22
c
14 + 15 + ... + 20 + 21
d
15 + 16 + ... + 21 + 22
e
14 + 15 + ... + 22 + 23
4
What addition does this equation give you a quicker way to calculate?
A LaTex expression showing 18(18+1) over 2 - (8-1)8 over 2
a
8 + 9 + ... + 17 + 18
b
8 + 9 + ... + 16 + 17
c
7 + 8 + ... + 17 + 18
d
8 + 9 + ... + 18 + 19
e
9 + 10 + ... + 17 + 18
5
What addition does this equation give you a quicker way to calculate?
A LaTex expression showing 16(16+1) over 2 - (11-1)11 over 2
a
11 + 12 + ... + 14 + 15
b
11 + 12 + ... + 15 + 16
c
12 + 13 + ... + 15 + 16
d
11 + 12 + ... + 16 + 17
e
10 + 11 + ... + 15 + 16
6
What addition does this equation give you a quicker way to calculate?
A LaTex expression showing 15(15+1) over 2 - (8-1)8 over 2
a
8 + 9 + ... + 14 + 15
b
8 + 9 + ... + 13 + 14
c
7 + 8 + ... + 14 + 15
d
8 + 9 + ... + 15 + 16
e
9 + 10 + ... + 14 + 15
7
What addition does this equation give you a quicker way to calculate?
A LaTex expression showing 20(20+1) over 2 - (10-1)10 over 2
a
10 + 11 + ... + 18 + 19
b
10 + 11 + ... + 19 + 20
c
11 + 12 + ... + 19 + 20
d
9 + 10 + ... + 19 + 20
e
10 + 11 + ... + 20 + 21
8
What addition does this equation give you a quicker way to calculate?
A LaTex expression showing 15(15+1) over 2 - (7-1)7 over 2
a
6 + 7 + ... + 14 + 15
b
8 + 9 + ... + 14 + 15
c
7 + 8 + ... + 13 + 14
d
7 + 8 + ... + 14 + 15
e
7 + 8 + ... + 15 + 16