Question

The sum of 5th and 7th terms of an ap is 4 and the 10th term is 46.Find the ap.

Answer 1

Answer:

- 53, - 42, -31, -20, -9.........

Step-by-step explanation:

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

a₅ + a₇ = 4

=> a+4d+a+6d = 4

=> 2a + 10d = 4

-> a + 5d = 2. -------------> equation 1

10th term of AP is 46.

a+9d = 46 ---------------> Equation 2.

Subtract 2 from 1,

4d = 44

=> d = 11

a+9d = 46

a + 99 = 46 = > a = - 53.

Thus the ap is - 53, - 42, -31, -20, -9 .....