# How to find the first term, the common difference, and the nth term of the arithmetic sequence here? 8th term is 4; 18th term is -96

##### 3 Answers

**First term is** **, common difference is**

**th term of A.P. series is**

#### Explanation:

Let

terms of an A.P. series

we get ,

equation (1) we get,

Hence first term is

The first term is

#### Explanation:

If a Arithmatic Sequence has first term

According to question

Put n=8 in equation (1)

but

Hence

and

Put n=18 in equation (1)

but

Hence

by putting value of

Transfer

Divide by 10

Put the value of

By Equation (2)

Hence the first term is

Common difference:

first term:

nth term:

#### Explanation:

8th term

18th term

General formula for nth tern

Simplifying

Simplifying

Subtrtacting (1) from (2)

Substituting

in (1)