Question

If k,2k-1,2k+1 are three consecutive terms of an Am find k

Answer 1

Answer:

$Heya \: user \:$.......❤

Question :

If k,2k-1,2k+1 are three consecutive terms of an AP find k.......

Solution :

If a,b, c are in Ap

b-a = c-b-----(1)

According to the given problem

a=k, b=2k-1, c=2k+1

Using (1)

(2k-1) - k = (2k+1)-(2k-1)

=>2k-1-k =2k+1-2k+1

=>k-1 = 2

=>k=2+1

=>k=3

Hope it's helpful........ ☺

Answer 2

Step-by-step explanation:

If a,b, c are in Ap

b-a = c-b-----(1)

According to the given problem

a=k, b=2k-1, c=2k+1

Using (1)

(2k-1) - k = (2k+1)-(2k-1)

=>2k-1-k =2k+1-2k+1

=>k-1 = 2

=>k=2+1

=>k=3