Question

if a,b,c are in AP then prove b=a+c÷2​

Answer 1

Answer:

First term is t1=a

Second term t2=a+d=b

third term is t3=a+2d=c

Now a+c=a+(a+2d)=2a+2d=2(a+d)=2b

⇒a+c=2b

b=(a+c) /2

hence proved.