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

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.

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 Addition

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


What addition does this equation give you a quicker way to calculate?

19(19+1)2−(13−1)132\frac{19(19+1)}{2} - \frac{(13-1)13}{2}

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

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Math worksheet on 'Sums - Series of Integers M to N - Equation to Addition (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 addition does this equation give you a quicker way to calculate?
A LaTex expression showing 19(19+1) over 2 - (9-1)9 over 2
a
10 + 11 + ... + 18 + 19
b
9 + 10 + ... + 18 + 19
c
9 + 10 + ... + 17 + 18
d
8 + 9 + ... + 18 + 19
e
9 + 10 + ... + 19 + 20
2
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
9 + 10 + ... + 19 + 20
c
10 + 11 + ... + 20 + 21
d
11 + 12 + ... + 19 + 20
e
10 + 11 + ... + 19 + 20
3
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 + ... + 18 + 19
b
8 + 9 + ... + 17 + 18
c
9 + 10 + ... + 17 + 18
d
7 + 8 + ... + 17 + 18
e
8 + 9 + ... + 16 + 17
4
What addition does this equation give you a quicker way to calculate?
A LaTex expression showing 24(24+1) over 2 - (15-1)15 over 2
a
14 + 15 + ... + 23 + 24
b
15 + 16 + ... + 23 + 24
c
16 + 17 + ... + 23 + 24
d
15 + 16 + ... + 24 + 25
e
15 + 16 + ... + 22 + 23
5
What addition does this equation give you a quicker way to calculate?
A LaTex expression showing 20(20+1) over 2 - (12-1)12 over 2
a
12 + 13 + ... + 18 + 19
b
12 + 13 + ... + 19 + 20
c
12 + 13 + ... + 20 + 21
d
11 + 12 + ... + 19 + 20
e
13 + 14 + ... + 19 + 20
6
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
7 + 8 + ... + 13 + 14
b
8 + 9 + ... + 14 + 15
c
8 + 9 + ... + 12 + 13
d
9 + 10 + ... + 13 + 14
e
8 + 9 + ... + 13 + 14
7
What addition does this equation give you a quicker way to calculate?
A LaTex expression showing 11(11+1) over 2 - (6-1)6 over 2
a
5 + 6 + ... + 10 + 11
b
6 + 7 + ... + 11 + 12
c
6 + 7 + ... + 9 + 10
d
6 + 7 + ... + 10 + 11
e
7 + 8 + ... + 10 + 11