if k, 2k-1 and 2k+1 are three consecutive terms of an AP, the value of k is?

Open in App

Solution

$Let t_{1} = k; t_{2} = 2 k - 1; t_{3} = 2 k + 1 Since, t_{1}, t_{2} and t_{3} are in AP, then t_{2} - t_{1} = t_{3} - t_{2} \Rightarrow 2 k - 1 - k = 2 k + 1 - 2 k + 1 \Rightarrow k - 1 = 2 \Rightarrow k = 3$

Suggest Corrections

Similar questions

k

k + q, 2 k + 1

2 k + 7

A P

K K + 9, 2 K - 12 K + 7

k, 2 k - 1

2 k + 1

k

k, 2 k - 1

2 k + 1

A . P .

k

Find the value of k if 8k + 4 = 6k - 2 = 2 k - 7 are three consecutive terms of an AP.

Join BYJU'S Learning Program