This math topic focuses on calculating the sum of a series of integers from M to N using summation notation and formula conversion. It integrates problem-solving skills as learners translate summation notation expressions into their corresponding equations for determining the sum of sequences. The realistic examples provided in the questions help students understand and apply the summation formula and adjustments for different series starting points. This forms a part of advanced practice within the broader context of 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 - Summation Form to Equation Worksheet

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Sums - Series of Integers M to N - Summation Form to Equation
1
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=3 to the power of 11 n
a A LaTex expression showing 2 over 11(11+1)
b A LaTex expression showing 11(11+1) over 2 - (3-1)3 over 2
c A LaTex expression showing 12(12+1) over 2 - (3-1)3 over 2
d A LaTex expression showing 11(11+1) over 2
2
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=5 to the power of 12 n
a A LaTex expression showing 13(13+1) over 2 - (5-1)5 over 2
b A LaTex expression showing 12(12+1) over 2
c A LaTex expression showing 11(11+1) over 2 - (5-1)5 over 2
d A LaTex expression showing 12(12+1) over 2 - (5-1)5 over 2
3
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=13 to the power of 21 n
a A LaTex expression showing 2 over 21(21+1)
b A LaTex expression showing 22(22+1) over 2 - (13-1)13 over 2
c A LaTex expression showing 21(21+1) over 2 - (13-1)13 over 2
d A LaTex expression showing 21(21+1) over 2 - (12-1)12 over 2
4
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=13 to the power of 23 n
a A LaTex expression showing 23(23+1) over 2 - (13-1)13 over 2
b A LaTex expression showing 2 over 23(23+1)
c A LaTex expression showing 22(22+1) over 2 - (13-1)13 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 10 n
a A LaTex expression showing 9(9+1) over 2
b A LaTex expression showing 11(11+1) over 2
c A LaTex expression showing 2 over 10(10+1)
d A LaTex expression showing 10(10+1) over 2
6
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=15 to the power of 22 n
a A LaTex expression showing 2 over 22(22+1)
b A LaTex expression showing 22(22+1) over 2 - (15-1)15 over 2
c A LaTex expression showing 22(22+1) over 2
d A LaTex expression showing 22(22+1) over 2 - (14-1)14 over 2
7
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=11 to the power of 16 n
a A LaTex expression showing 16(16+1) over 2 - (10-1)10 over 2
b A LaTex expression showing 2 over 16(16+1)
c A LaTex expression showing 17(17+1) over 2 - (11-1)11 over 2
d A LaTex expression showing 15(15+1) over 2 - (11-1)11 over 2
e A LaTex expression showing 16(16+1) over 2 - (11-1)11 over 2
8
What equation would let you calculate this summation form?
A LaTex expression showing sum of sub n=8 to the power of 18 n
a A LaTex expression showing 18(18+1) over 2 - (8-1)8 over 2
b A LaTex expression showing 19(19+1) over 2 - (8-1)8 over 2
c A LaTex expression showing 18(18+1) over 2
d A LaTex expression showing 17(17+1) over 2 - (8-1)8 over 2