Question

The sum of 4 terms of ap is 32 product of the middle term is 60 find the terms

Answer 1

Answer:

The terms are 2, 6, 10, 14.

Step-by-step explanation:

Sum of first 4 terms

= 4/2(2a  + 3d)

= 4a + 6d = 32

2a + 3d = 16

a = (16-3d)/2

Also

(a + d)(a + 2d) = 60

(16-3d)/2 + d )((16-3d)/2 + 2d) = 60

(16-3d + 2d)/2 * (16 - 3d + 4d )/2) = 60

(16 -d)(16+ d) / 4 = 60

256 - d^2 = 240

d^2 = 16

d = +/- 4

But d must be 4  because of the given positive values

and a = (16 - 3(4)) / 2 = 2

So the terms are 2, 6, 10, 14.