Question

If (k - 3),(2k + 1) and (4k + 3) are the terms of A.P, find the value of k.

Answer 1

first term, a= k-3
second term, b= 2k+1
third term, c= 4k+3

now we know,
b-a = c-b
b+b = a+c
2b= a+c.........(1)
using this equation let's put values and solve it,

2(2k+1) = k-3+4k+3
4k+2 = 5k

5k-4k = 2
k= 2



hope this helps you