Question

find the sum of first 30 terms of the series 4+7+10+....​

Answer 1

Answer:

The terms,

4,6,8,10

form an AP with a=4 and d=2 giving the terms:

a=4,a+d=6,a+2d=8,...

Then the sum of the first n-terms is

Sn=n2{2a+(n−1)d}

So

S50=502{2⋅4+49⋅2}

=15{8+98}

=15{106}

=1590

Explanation:

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