Question

IF a,b,c are in an A.P and a-c=b then find the value of a in terms of b

Answer 1

Step-by-step explanation:

here is the best solution of this question

Answer 2

The value of a in terms of b is $a=\frac{3}{2}b$.

Step-by-step explanation:

Given : If a,b,c are in an A.P and $a-c=b$.

To find : The value of a in terms of b ?

Solution :

If a,b,c are in an A.P then we say that $2b=a+c$  ....(1)

because the difference between two consecutive terms of A.P are same.

As we want value of a in terms of b,

So, we substitute c from $a-c=b$ in (1)

$2b=a+(a-b)$

$2b=a+a-b$

$2a=2b+b$

$2a=3b$

$a=\frac{3}{2}b$

Therefore, the value of a in terms of b is $a=\frac{3}{2}b$.

#Learn more

If a b and c are in AP prove that b+c c+a and a+b are in AP

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