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in Mathematics by (44.4k points)
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The sum of first 30 terms of the A.P. 1, 3, 5, 7,... is

(A) 900

(B) 990

(C) 890

(D) 800

1 Answer

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by (44.6k points)
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Best answer

Correct option is (A) 900

Given A.P. is \(1,3,5,7, \ldots\)

Number of terms of A.P is \(n=30\)

First term \((a) = 1\)

Common difference \((d)=3-1=2\)

We know that sum of n term of an AP is given by:

\(S_{n}=\frac{n}{2}[2 a+(n-1) d]\)

\(S_{30} =\frac{30}{2}[2 \times 1+(30-1) 2]\)

\(=15[2+60-2] \)

\(=15 \times 60\)

\( =900\)

Hence, the sum of given A.P. is 900.

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