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Sums - Series of Integers 1 to N - Addition to Summation Form (Level 1)

This math topic focuses on developing the skill of expressing sums of series of integers using summation notation. It includes problems where learners identify the correct summation equation to represent various sequences of consecutive integers from 1 up to a specified number (N). Such skill practice is pivotal in understanding number patterns and algebraic notation, covering a foundational algebra concept that connects simple arithmetic operations to higher mathematical expressions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Sums - Series of Integers 1 to N - Addition to Summation Form

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

What equation in summation form would describe this sum?

1 + 2 + ... + 9 + 10

Sums - Series of Integers 1 to N - Addition to Summation Form Worksheet

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Math worksheet on 'Sums - Series of Integers 1 to N - Addition to Summation Form (Level 1)'. Part of a broader unit on 'Patterns and Sums - Intro' Learn online: app.mobius.academy/math/units/patterns_and_sums_intro/
1
1 + 2 + ... + 22 + 23
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=0 to the power of 23 n
b A LaTex expression showing sum of sub n=1 to the power of 23 n over 2
c A LaTex expression showing sum of sub n=1 to the power of 23 n
d A LaTex expression showing sum of sub n=2 to the power of 23 n
e A LaTex expression showing sum of sub n=1 to the power of 23 n+1
2
1 + 2 + ... + 15 + 16
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=0 to the power of 16 n
b A LaTex expression showing sum of sub n=1 to the power of 17 n
c A LaTex expression showing sum of sub n=1 to the power of 16 n
d A LaTex expression showing sum of sub n=2 to the power of 16 n
3
1 + 2 + ... + 19 + 20
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=1 to the power of 20 n
b A LaTex expression showing sum of sub n=0 to the power of 20 n
c A LaTex expression showing sum of sub n=2 to the power of 20 n
d A LaTex expression showing sum of sub n=1 to the power of 21 n
4
1 + 2 + ... + 18 + 19
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=2 to the power of 19 n
b A LaTex expression showing sum of sub n=1 to the power of 19 n
c A LaTex expression showing sum of sub n=1 to the power of 18 n
5
1 + 2 + ... + 21 + 22
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=1 to the power of 22 n+1
b A LaTex expression showing sum of sub n=0 to the power of 22 n
c A LaTex expression showing sum of sub n=1 to the power of 22 n
d A LaTex expression showing sum of sub n=1 to the power of 23 n
6
1 + 2 + ... + 7 + 8
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=1 to the power of 9 n
b A LaTex expression showing sum of sub n=1 to the power of 8 n over 2
c A LaTex expression showing sum of sub n=1 to the power of 7 n
d A LaTex expression showing sum of sub n=1 to the power of 8 n
e A LaTex expression showing sum of sub n=2 to the power of 8 n
7
1 + 2 + ... + 16 + 17
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=2 to the power of 17 n
b A LaTex expression showing sum of sub n=1 to the power of 16 n
c A LaTex expression showing sum of sub n=1 to the power of 17 n+1
d A LaTex expression showing sum of sub n=1 to the power of 18 n
e A LaTex expression showing sum of sub n=1 to the power of 17 n