Question

If the numbers a,b,c are in A.P.,then:*​

Answer 1

Answer:

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ANSWER-

Since a, b, c are in AP,

2b = a+c

Divide by bc

2/c = a/bc + 1/b

So a/bc, 1/c, 1/b are in AP.

Step-by-step explanation:

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Answer 2

Answer: If a,b,c are in A.P, then 2b=a+c.

Step-by-step explanation:

Let a,b,c be the given series in A.P.

The common difference is b-a and c-b.

Sine the common difference in A.P is equal,

b-a=c-b

⇒b+b=c+a

⇒2b=c+a

⇒2b=a+c

Hence if a,b,c are in A.P then 2b=a+c.