Question

What is the nth term rule of the linear sequence below? − 9 , − 5 , − 1 , 3 , 7 , . .

Answer 1

Answer:

19

step by step explanation

7+3=10

10+3=13

13+3=16

16+3=19

hope it helps you ☺️

Answer 2

SOLUTION

TO DETERMINE

The nth term rule of the linear sequence below

− 9 , − 5 , − 1 , 3 , 7 , . .

CONCEPT TO BE IMPLEMENTED

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

EVALUATION

Here the given sequence is

− 9 , − 5 , − 1 , 3 , 7 , . .

It is an arithmetic sequence

First term = a = - 9

Common Difference = d = - 5 + 9 = 4

The nth term of the sequence

= a + ( n - 1 )d

= - 9 + 4 × ( n - 1 )

= - 9 + 4n - 4

= 4n - 13

FINAL ANSWER

The nth term of the sequence = 4n - 13

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