Question

In an ap of three terms sum of the terms is 60 and sum of squares of extreme is 850 find the terms

Answer 1

Let three terms of AP be α-β , α , α+β

ATQ

α-β+α+α+β=60

3α=60

α=20

Again ATQ

(α-β)²+(α+β)²=850

α²+β²-2αβ+α²+β²+2αβ=850

2α²+2β²=850

2(α²+β²)=850

α²+β²=425

20²+β²=425

400+β²=425

β²=25

β=5

∴terms of AP=15 , 20 , 25