Question

check weather the sequence a-3 , a-5, a-7 is A. P. or not​

Answer 1

Answer:

now simple for showing a,b,c are ap

the formula should be matched

2b=a+c

so now

2(a-5)=a-3+a-7

2a-10=a+a-10

so L.H.S =R.H.S

Answer 2

To check whether the sequence is in AP or not we check that the common difference is same or not.

So,

D1 = (a-5) - (a-3) = a-5-a+3 = -2

and, D2 = (a-7) - (a-5) = a-7-a+5 = -2

Since, D1 = D2

∴ (a-3), (a-5) and (a-7) are in A.P.

Hope It Helps :)

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