Question

for what values of p, the following terms are three consecutive terms of an AP 4/5, p, 2​

Answer 1

the value of p is 7/5.

Answer 2

The value of p is $\frac{3}{5}$

Step-by-step explanation:

Given : Three consecutive terms of an A.P 4/5, p, 2​.

To find : What is the value of p ?

Solution :

We know that,

In an A.P difference between two consecutive terms are equal.

i.e. Second term - First term = Third term - Second term

Three consecutive terms of an A.P 4/5, p, 2.

First term = $\frac{4}{5}$

Second term = p

Third term = 2

Substitute,

$p-\frac{4}{5}=2-p$

$2p=2-\frac{4}{5}$

$2p=\frac{10-4}{5}$

$2p=\frac{6}{5}$

$p=\frac{3}{5}$

Therefore, the value of p is $\frac{3}{5}$

#Learn more

In AP sum of three consecutive term is 27and their product is 504,find the terms (assume that three consecutive terms in AP are a-d,a,a+d)

https://brainly.in/question/12019834