Question

Sum of four consecutive term of an AP is 24nd product is 945. Find the term.

Answer 1

x- 3y, x-y, x+y, x+3y

x- 3y + x - y + x + y + x + 3y = 24

4x = 24

x = 6

(x-3y)(x+3y)(x-y)(x+y) = 945

(x² - 9y²)(x² - y²) = 945

y =1

(36 - 9)(36-1) = 945

27 x 35 = 945

x =6 and y =1

numbers 6 - 3 = 3, 6-1 =  5, 6+1 = 7, 6+3 = 9

3, 5, 7, 9

1296 + 180y² + 4y⁴ = 945

4y⁴ - 180y² + 351 =0

y = 1 then 175