Question

The 2nd term of an arithmetic sequence is 18 & it 4th terms is 32 write the first term and third term

Answer 1

Answer:

the AP, 4th term = a+3d = 18 …(1)

The 6th term = a+5d = 28 …(2)

Subtract (1) from (2)

2d = 28–18 = 10 or d = 5.

From (1), a = 18 - 3x5 = 18–15 = 3.

So the 2nd, 3rd and 5th terms are : 8, 13 and 23, respectively. The common difference between consequent terms is 5.