Question

If 3 , 2K+3 and 9 are in A.P. , then find the value of K

Answer 1

Answer:

please refer to the attachment

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Answer 2

Answer:

$\large k=\dfrac{3}{2}$

Step-by-step explanation:

Given :

3 , 2 k + 3 and 9 are in A.P.

We know that three terms of A.P. is equal to as

2 b = a + c

Comparing values from given we have

b = 2 k + 3

a = 2   and   c = 9

Now putting values in formula we get

2 ( 2 k + 3 ) = 3 + 9

4 k + 6 = 12

4 k = 12 - 6

4 k = 6

2 k = 3

$\large k=\dfrac{3}{2}$

Thus we get value of k.