Question

For what value of k , the term of k, k+4,3k are in ap

Answer 1

Answer:

the answer is 4

Step-by-step explanation:

in a.p

a2 - a1 = a3 - a2

so 2k = 8

so value of k is 4

I hope this will help u

Answer 2

The required value of k = 4

Given :

k , k + 4 , 3k are in AP

To find :

The value of k

Concept :

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

Solution :

Step 1 of 2 :

Write down the given terms

The given terms are k , k + 4 , 3k

Step 2 of 2 :

Find the value of k

Since k , k + 4 , 3k are in AP

Thus we have

$\displaystyle \sf{ 2(k + 4) = k + 3k}$

$\displaystyle \sf{ \implies 2k + 8 =4 k }$

$\displaystyle \sf{ \implies 2k - 4 k = - 8}$

$\displaystyle \sf{ \implies - 2k = - 8}$

$\displaystyle \sf{ \implies k = 4}$

Hence the required value of k = 4