Question

Find four terms in an AP such that sum is -8 and product is 385

Answer 1

Answer:

et four terms in A.P be (x+3y),(x+y),(x-3y) and (x-y)

sum is -8

therefore

(x + 3y) + (x + y) + (x - 3y) + (x - y) =  - 8 \\ 4x =  - 8 \\ x =  - 2

product is 385

therefore

(x - 3y) \times (x - y) \times (x + 3y) \times (x + y) = 385  

put the value of x=-2

(2 - 3y)(2 - y)(2 + 3y)(2 + y) = 385

now solve the equation and get the value of y

hope it helps..