Question

Radha says 1,1,1,.... Are in A.P and also in G.P. do you agree with radha???

Answer 1

I agree with radha
1,1,1 .............
common difference = a2-a1 or a3 -a2
1-1 =0 or 1-1 =0
it is in the form of a.p
1,1,1.........
common ratio = a2/a1 = a3xa2
1/1 =1/1
it is in the form of g.p

Answer 2

Answer:

yes, i agree with radha.

Step-by-step explanation:

Three numbers a, b, c are in AP if

$a+c=2b$

In the given series 1,1,1

$1+1=2(1)$

$2=2$

Since left hand side is equal to right hand side, therefore 1,1,1 is an AP.

Three numbers a, b, c are in GP if

$ac=b^2$

In the given series 1,1,1

$(1)(1)=(1)^2$

$1=1$

Since left hand side is equal to right hand side, therefore 1,1,1 is a GP.

Now, we can say that 1,1,1 are in A.P and also in G.P.