Sequence And Series Question 470

Question: If the first term of an A.P. be 10, last term is 50 and the sum of all the terms is 300, then the number of terms are

[RPET 1987]

Options:

A) 5

B) 8

C) 10

D) 15

Show Answer

Answer:

Correct Answer: C

Solution:

Given that first term $ a=10 $ , last term $ l=50 $ and sum $ S=300 $
$ \therefore \ \ S=\frac{n}{2}(a+l) $
$ \Rightarrow $ $ 300=\frac{n}{2}(10+50) $
$ \Rightarrow $ $ n=10 $ .