Sequence And Series Question 346

Question: If twice the 11th term of an A.P. is equal to 7 times of its 21st term, then its 25th term is equal to

[J & K 2005]

Options:

A) 24

B) 120

C) 0

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Let the first term of A.P. is a and common difference is d. 11th term of A.P. = $ a+10d $ 21st term of A.P. = a+ 20d $ 2(a+10d)=7(a+20d) $ Þ $ 2a+20d=7a+140d $ $ 5a+120d=0 $ Þ $ a+24d=0 $ Hence 25th term is 0.