Question

If a, b, c are in A.P., then 2b =​

Answer 1

Answer:

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

Answer 2

If a, b, c are in AP then 2b = a + c

Given : a, b, c are in AP

To find : The value of 2b

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that a, b, c are in AP

Step 2 of 2 :

Find the value of 2b

1st term = a

2nd term = b

3rd term = c

Since the numbers are in AP

Common Difference exists

2nd term - 1st term = 3rd term - 2nd term

⇒ b - a = c - b

⇒ b + b = a + c

⇒ 2b = a + c

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