Arithmetic Progression (AP)

An Arithmetic Progression (AP) is a sequence of numbers in which the difference between any two consecutive terms is constant. The constant difference is known as the common difference.

In this problem, we are given the first term of the AP as 8 and the common difference as -2. We need to find the first four terms of this AP.

Finding the First Term

The first term of the AP can be found directly from the given information, which is 8.

Finding the Common Difference

The common difference is given as -2. This means that each term in the sequence is obtained by subtracting 2 from the previous term.

Finding the Second Term

To find the second term of the AP, we need to add the common difference to the first term.

8 + (-2) = 6

Therefore, the second term of the AP is 6.

Finding the Third Term

To find the third term of the AP, we need to add the common difference to the second term.

6 + (-2) = 4

Therefore, the third term of the AP is 4.

Finding the Fourth Term

To find the fourth term of the AP, we need to add the common difference to the third term.

4 + (-2) = 2

Therefore, the fourth term of the AP is 2.

Summary

The first four terms of the AP with a first term of 8 and a common difference of -2 are:

1. First term: 8
2. Second term: 6
3. Third term: 4
4. Fourth term: 2

In this AP, each term is obtained by subtracting 2 from the previous term, starting from the first term of 8.