Question

which of the following are APS if they form an ap find the common difference d and write three more terms 3,3+√2,3+2√2,3+3
√2,.......​

Answer 1

Answer:

3+3+√2,3+2√2,3+3√2

here,

a2-a1=3+√2-3=√2

a3-a2=(3+2√2)-(3+√2)=√2

a4-a3=(3+3√2)-(3+2√2)=√2

an+1-an is same every time.

therefore, d=√2 and given numbers are in A.P

Three more terms are

a5=(3+√2)+√2=3+4√2

a6=(3+4√2)+√2=3+5√2

a7=(3+5√2)+√2=3+6√2