Question

The first three terms of arithmetic progression are -5,-1 and 3.Find the six term.​

Answer 1

It is 15.

Explanation:

Alright, first lets find the pattern. Since its a arithmetic sequence, it has something to do with adding/subtracting.

With the values, -5, -1, and 3. Notice something about them? -1 is 4 more than -5 & 3 is 4 more than -1. There's a pattern! The pattern is that for every new term, it is 4 more than the one before it.

With this, we can make a table to find the 6th term!

(Given)

1st Term: -5

2nd Term: -1

3rd Term: 3

Now, continue adding 4 to each term...

4th Term: 7

5th Term: 11

6th Term: 15

For the 6th term, it has been found that the answer's 15.

Answer 2

15

Explanation:

The pertinent general formula for this arithmetic progression is

a(n) = a(1) + d(n - 1), where d is the common difference. That difference is d = 4.

Here, a(n) = -5 + 4(n -1)

Therefore, a(6) = -5 + 4(5) = 15