Question

If 2n, n + 10, 3n + 2 are in A.P. Find the value of n.​

Answer 1

Answer:

5,11,17

Step-by-step explanation:

Given: (2n−1),(3n+2) and (6n−1) are in AP.

So, difference between two consecutive terms is same.

So, (3n+2)−(2n−1)=(6n−1)−(3n+2)

(3n+2)+(3n+2)=6n−1+2n−1

6n+4=8n−2

8n−6n=4+2

or n=3

Numbers are:

2×3−1=5

3×3+2=11

6×3−1=17

Answer: (5,11,17) are required numbers.