Question

if k+1,3k,4k+2 are in ap then find value k find k value​

Answer 1

k=3

Step-by-step explanation:

Let a= k+1

b=3k

c=4k

a,b and c are in A.P

if and only if 2b=a+c

2b=a+c

2(3k)=(k+1)+(4k+2)

6k=5k+3

6k-5k=3

k=3

Answer 2

k=3

Step-by-step explanation:

Given (k + 1), 3k and (4k + 2) are in AP Common difference = t2 – t1 = t3 – t2 That is 3k – (k + 1) = (4k + 2) – 3k ⇒ 3k – k – 1 = 4k + 2 – 3k ⇒ 2k – 1 = k + 2 ⇒ 2k – k = 1 + 2 ∴ k = 3