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.

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

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Sums - Series of Integers 1 to N - Addition to Summation Form
1
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 8 n
b A LaTex expression showing sum of sub n=1 to the power of 7 n
c A LaTex expression showing sum of sub n=1 to the power of 9 n
d A LaTex expression showing sum of sub n=2 to the power of 8 n
e A LaTex expression showing sum of sub n=1 to the power of 8 n over 2
2
1 + 2 + ... + 15 + 16
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=2 to the power of 16 n
b A LaTex expression showing sum of sub n=0 to the power of 16 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=1 to the power of 17 n
3
1 + 2 + ... + 20 + 21
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=1 to the power of 21 n+1
b A LaTex expression showing sum of sub n=0 to the power of 21 n
c A LaTex expression showing sum of sub n=1 to the power of 21 n
d A LaTex expression showing sum of sub n=2 to the power of 21 n
4
1 + 2 + ... + 22 + 23
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=1 to the power of 23 n
b A LaTex expression showing sum of sub n=1 to the power of 23 n+1
c A LaTex expression showing sum of sub n=2 to the power of 23 n
d A LaTex expression showing sum of sub n=0 to the power of 23 n
e A LaTex expression showing sum of sub n=1 to the power of 23 n over 2
5
1 + 2 + ... + 23 + 24
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=1 to the power of 25 n
b A LaTex expression showing sum of sub n=1 to the power of 24 n over 2
c A LaTex expression showing sum of sub n=2 to the power of 24 n
d A LaTex expression showing sum of sub n=1 to the power of 24 n
6
1 + 2 + ... + 8 + 9
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=1 to the power of 8 n
b A LaTex expression showing sum of sub n=0 to the power of 9 n
c A LaTex expression showing sum of sub n=1 to the power of 10 n
d A LaTex expression showing sum of sub n=1 to the power of 9 n
e A LaTex expression showing sum of sub n=2 to the power of 9 n
7
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 23 n
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+1
d A LaTex expression showing sum of sub n=1 to the power of 22 n
8
1 + 2 + ... + 19 + 20
What equation in summation form would describe this sum?
a A LaTex expression showing sum of sub n=0 to the power of 20 n
b A LaTex expression showing sum of sub n=1 to the power of 21 n
c A LaTex expression showing sum of sub n=1 to the power of 20 n
d A LaTex expression showing sum of sub n=2 to the power of 20 n