Question

find three consucative term of anA.P. whose sum is 24 and product is 312​

Answer 1

Step-by-step explanation:

let a-d+a+a+d=24.....(1)

(a-d)(a)(a+d)=312........(2)

1... a-d +a +a+d =24

-d and +d cancel

then 3a=24

a=24/3

a=8

2... a=8

(8-d)(8)(8+d)=312

we take.. (8-d)(8+d)=312/8

( 8-d)(8+d)=39

8 square -d square =39

64-d square =39

64-39=d square

25=d square

d=root of 25

d= 5

a=8

d=5

the three consecutive numbers a-d=8-5=3

a=8

a+d=8+5=13

three numbers are 3.8.13