Question

four numbers are in AP whose sum is 20 and sum of their squares is 180 .Find numbers​

Answer 1

Answer:

Step-by-step explanation:

Four numbers are in A.P. therefore the terms are :

a-3d,a-d,a+d,a+3d .

Given,

The sum of the term is =20

Sum of the squares of number is =180

By first condition,

So (a-3d)+(a-d)+(a+d)+(a+3d) =20

4a =20

a=5

By 2nd condition,

(a-3d)²+(a-d)²+(a+d)²+(a+3d)² =180

Substitute the value of a and solve the equation

100+20d²=180

20d²=180–100

d²=80/20

d²=4

d=2 or d=-2

Case 1: a=5 d=2  

a-3d= -1 and a-d= 3

a+3d= 11 and a+d= 7

Case 2:  a=5 , d=-2

a-3d= 11 and a-d= 7

a+3d= -1 and a+d= 3

Answer 2

Answer:

hello

Step-by-step explanation:

i hope it will help you. shreya

mark aa brainlest