This math topic practices finding equations that calculate the sum of series of integers from 1 up to a given number \( N \). It emphasizes deriving the direct formula \( \frac{n(n+1)}{2} \) for the sum of the first \( n \) numbers, based on given summation expressions. The exercises involve choosing the correct formula from multiple choice answers, requiring learners to manipulate and understand the summation notation and its corresponding equation for calculating series sums, as part of broader number pattern analysis skills.

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

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Sums - Series of Integers 1 to N - Summation Form to Equation
1
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 9 n
a A LaTex expression showing 9(9+1) over 2
b A LaTex expression showing 9(9+1) over 9
c A LaTex expression showing 2 over 9(9+1)
d A LaTex expression showing 10(10+1) over 2
e A LaTex expression showing 8(8+1) over 2
2
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 8 n
a A LaTex expression showing 8(8+1) over 2
b A LaTex expression showing 9(9+1) over 2
c A LaTex expression showing 8(8+1) over 8
d A LaTex expression showing 7(7+1) over 2
3
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 14 n
a A LaTex expression showing 14(14+1) over 14
b A LaTex expression showing 14(14+1) over 2
c A LaTex expression showing 13(13+1) over 2
d A LaTex expression showing 15(15+1) over 2
4
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 23 n
a A LaTex expression showing 2 over 23(23+1)
b A LaTex expression showing 22(22+1) over 2
c A LaTex expression showing 24(24+1) over 2
d A LaTex expression showing 23(23+1) over 2
5
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 20 n
a A LaTex expression showing 20(20+1) over 20
b A LaTex expression showing 21(21+1) over 2
c A LaTex expression showing 19(19+1) over 2
d A LaTex expression showing 20(20+1) over 2
6
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 13 n
a A LaTex expression showing 2 over 13(13+1)
b A LaTex expression showing 13(13+1) over 13
c A LaTex expression showing 13(13+1) over 2
d A LaTex expression showing 12(12+1) over 2
7
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 15 n
a A LaTex expression showing 14(14+1) over 2
b A LaTex expression showing 16(16+1) over 2
c A LaTex expression showing 15(15+1) over 2
d A LaTex expression showing 15(15+1) over 15
8
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=1 to the power of 16 n
a A LaTex expression showing 2 over 16(16+1)
b A LaTex expression showing 16(16+1) over 2
c A LaTex expression showing 17(17+1) over 2
d A LaTex expression showing 16(16+1) over 16