Sequence And Series Question 516

Question: There are 15 terms in an arithmetic progression. Its first term is 5 and their sum is 390. The middle term is

[MP PET 1994]

Options:

A) 23

B) 26

C) 29

D) 32

Show Answer

Answer:

Correct Answer: B

Solution:

According to the given condition $ \frac{15}{2}[10+14\times d]=390 $
$ \Rightarrow $ $ d=3 $ Hence middle term $ i.e. $ $ 8^{th} $ term is given by $ 5+7\times 3=26 $ .