Question

Find the next term of the Ap 3,1,-1,-3.....

Answer 1

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Answer 2

The next term of the AP 3 , 1 , - 1 , - 3 , . . is - 5

Given :

The AP 3 , 1 , - 1 , - 3 , . .

To find :

The next term of the AP

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

Solution :

Step 1 of 3 :

Write down the given AP

The given AP is 3 , 1 , - 1 , - 3 , . .

Step 2 of 3 :

Find the common difference

1st term = a = 3

2nd term = 1

3rd term = - 1

4th term = - 3

Common Difference = d =

= 2nd term - 1st term

= 1 - 3

= - 2

Step 3 of 3 :

Find the next term

The next term

= 5th term of the AP

= a + ( 5 - 1 ) d

= a + 4d

= 3 + 4 × ( - 2 )

= 3 - 8

= - 5

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