Find the sum of first 60 multiples of 3.
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Lets first look at the first three terms of this series.
3, 6, 9
To find the sum of an arithmetic series, there are two separate formulas. The one we will use is sn=n2(2a+(n−1)d)
n, or the number of terms, is 30. d, the common difference, is 3. a, the first term in the series is 3.
Plugging these numbers into the formula, we get:
s30=302(2(3)+(29)3)
s30=15(6+87)
s30=15(93)
s30=1395
3, 6, 9
To find the sum of an arithmetic series, there are two separate formulas. The one we will use is sn=n2(2a+(n−1)d)
n, or the number of terms, is 30. d, the common difference, is 3. a, the first term in the series is 3.
Plugging these numbers into the formula, we get:
s30=302(2(3)+(29)3)
s30=15(6+87)
s30=15(93)
s30=1395
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