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

This math topic focuses on interpreting summation notation and expressing it as a series of simple additions. It involves converting LaTeX summation expressions, which denote the summation of integers starting from 1 up to a given number \( N \), into their equivalent expanded addition form. The problems evaluate the students' ability to understand the notation and correctly identify the sequence of integers that the summation represents. The series can range from 1 to any integer \( N \) such as 10, 12, 14, etc., encompassing whole number range additions. This topic is under a larger unit on Patterning - Number Patterns Practice.

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 - Summation Form to Addition

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

What addition does this summation form represent?

∑n=121n\sum_{n=1}^{21}n

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

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Math worksheet on 'Sums - Series of Integers 1 to N - Summation Form to Addition (Level 1)'. Part of a broader unit on 'Patterns and Sums - Intro' Learn online: app.mobius.academy/math/units/patterns_and_sums_intro/
1
What addition does this summation form represent?
A LaTex expression showing sum of sub n=1 to the power of 23 n
a
1 + 2 + ... + 21 + 22
b
2 + 3 + ... + 22 + 23
c
1 + 2 + ... + 23 + 24
d
1 + 2 + ... + 22 + 23
e
0 + 1 + ... + 22 + 23
2
What addition does this summation form represent?
A LaTex expression showing sum of sub n=1 to the power of 10 n
a
1 + 2 + ... + 9 + 10
b
1 + 2 + ... + 10 + 11
c
2 + 3 + ... + 9 + 10
d
0 + 1 + ... + 9 + 10
e
1 + 2 + ... + 8 + 9
3
What addition does this summation form represent?
A LaTex expression showing sum of sub n=1 to the power of 24 n
a
1 + 2 + ... + 22 + 23
b
2 + 3 + ... + 23 + 24
c
1 + 2 + ... + 24 + 25
d
0 + 1 + ... + 23 + 24
e
1 + 2 + ... + 23 + 24
4
What addition does this summation form represent?
A LaTex expression showing sum of sub n=1 to the power of 22 n
a
0 + 1 + ... + 21 + 22
b
1 + 2 + ... + 21 + 22
c
1 + 2 + ... + 20 + 21
d
1 + 2 + ... + 22 + 23
e
2 + 3 + ... + 21 + 22
5
What addition does this summation form represent?
A LaTex expression showing sum of sub n=1 to the power of 14 n
a
1 + 2 + ... + 13 + 14
b
2 + 3 + ... + 13 + 14
c
1 + 2 + ... + 14 + 15
d
0 + 1 + ... + 13 + 14
e
1 + 2 + ... + 12 + 13
6
What addition does this summation form represent?
A LaTex expression showing sum of sub n=1 to the power of 8 n
a
0 + 1 + ... + 7 + 8
b
2 + 3 + ... + 7 + 8
c
1 + 2 + ... + 6 + 7
d
1 + 2 + ... + 7 + 8
e
1 + 2 + ... + 8 + 9
7
What addition does this summation form represent?
A LaTex expression showing sum of sub n=1 to the power of 19 n
a
2 + 3 + ... + 18 + 19
b
1 + 2 + ... + 17 + 18
c
1 + 2 + ... + 18 + 19
d
1 + 2 + ... + 19 + 20
e
0 + 1 + ... + 18 + 19