Question

If x, 2x + 1 and 4x – 1 first three terms of an A.P., then find the fourth term of the A.P.​

Answer 1

Answer:

15

Step-by-step explanation:

For details consider the picture attached.

Hope you will get it.

Answer 2

Concept

Arithmetic progression or arithmetic sequence is a number sequence in which the difference between consecutive terms is constant.

Given

An A.P has three terms: x, 2x+1, and 4x-1.

To find

The fourth and last year of the A.P.

Solution

We are given three terms of A.P. since we are given three terms of A.P.

2x+1, 4x-1, x

Now

2x+1-x Equals d, where d represents the average difference.

Also,

d = 4x-1-(2x+1)

As a result, comparing the two equations

2x+1-x = 4x-1-(2x+1)

x+1 = 4x1-2x-1

x+1 = 2x-2

3 = x

Therefore,

The first term will be x = 3, the second term 2x+1 = 7, and the third term 4x-1 = 11.

Similarly, the fourth term will be 15 years.

As a result, A.P's fourth term is 15.