Question

Find the value of p for which the numbers 2p - 1, 3p + 1, 11 are in AP. Hence, find the numbers.

Ans: p = 2; 3 , 7 , 11.


Class 10

Arithmetic Progressions

Answer 1

3p+1-2p+1=11-3p-1

p+2=10-3p

p=2

Answer 2

Bonjour!!

Here , numbers are in Ap so..

we have:

a+c=2b

2p-1+11=2(3p+1)

2p+10=6p+2

4p=8

p=2