Question

In an arithmetic progression, the 3^rd term is 9 times the first term and the 5^th term is 10. What is the 10^th term?
1. 40/17
2. 370/17
3. 10/17
4. 360/17
5. None of these

Answer 1

Correct Answer - Option 2 : 370/17

Let the first term be ‘a’ and the common difference be ‘d’.

Then, a + 2d = 9a       -----(1)

a + 4d = 10       -----(2)

Solving equation 1 and 2:

From 1, d = 4a

Put this in equation 2:                                                             

a + 4(4a) = 10

a + 16a = 10

17a = 10

a = 10/17

And d = 40/17

The 10^th term is (a + 9d) = 370/17