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Question

Calculate the sum of the following arithmetic series: 1+5+9+13+17+......to 30 terms.

A
1500
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B
1700
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C
1550
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D
1770
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Solution

The correct option is C 1770
The common difference of the given arithmetic series is 4.
The number of terms of the given A.P. series (n) = 30
S=n2[2a+(n1)d]
Therefore, the required sum of first 30 terms of the series,
S=302[2×1+(301)4]
S=302[2+116]
S=15[118]
S=1770

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