The sum of the 3rd and the 4th term of an A.P. is 19 and that of the 1st and the 7th term is 22. Find the 9th term.

Question

The sum of the 3rd and the 4th term of an A.P. is 19 and that of the 1st and the 7th term is 22. Find the 9th term.

1. A. 16
2. B. 17
3. C. 15
4. D. 26 (Correct answer)

Correct Answer

Option D — 26

Detailed Solution & Explanation

The correct answer is 26.

Key Points

• Let a = first term, d = common difference. a3+a4 = 2a+5d = 19. a1+a7 = 2a+6d = 22. Solving: d = 3, a = 2. a9 = a+8d = 2+24 = 26.