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Question

Th sum of the first 30 terms of the arithmetic sequence 10, 18, 26... is ___.


A

3880

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B

3780

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C

3680

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D

3580

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Solution

The correct option is B

3780


Given the sequence 10,18,26....

First term, a1=10 Common difference, d=a2a1

=1810

=8

an=a1+(n1)da30=a1+29d

=10+29(8)

=10+232

=242

Sn=n2(a+l), where 'a' is the first term and 'l' is the last term.

S30=n2(a1+a30)

=302(10+242) =15(252)

=3780


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