Question

find k if 2,k,26 are in A.P

Answer 1

Answer:

The value of k is 14

Step-by-step explanation:

k - 2 = common difference

26 - k = common difference

But common difference is same in an AP

So, k -2 = 26 - k

k + k = 26 + 2

2k = 28

k = 28/2

k = 14

So, the value of k is 14

HOPE IT HELPS YOU!!

Answer 2

The value of k = 14

Given :

2 , k , 26 are in AP

To find :

The value of k

Solution :

Step 1 of 2 :

Form the equation

We know that , if three terms a , b , c are in AP then

2b = a + c

Here it is given that 2 , k , 26 are in AP

∴ 2 × k = 2 + 26

Step 2 of 2 :

Find the value of k

2 × k = 2 + 26

⇒ 2k = 28

⇒ k = 28/2

⇒ k = 14

Hence the required value of k = 14

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