Question 57
The first and last terms of an arithmetic progression are -32 and 43. If the sum of the series is 88, then it has how many terms?
Solution
First term of AP, $$a=-32$$ and last term, $$l=43$$
Let there be $$n$$ terms
Sum of AP = $$\frac{n}{2}(a+l) = 88$$
=> $$\frac{n}{2}(-32+43)=88$$
=> $$\frac{11n}{2}=88$$
=> $$n=88 \times \frac{2}{11}$$
=> $$n=8 \times 2=16$$
=> Ans - (A)
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