Question

Formular for pattern 1;5;9;13

Answer 1

Step-by-step explanation:

Given:-

The numbers in the sequence are : 1,5,9,13...

To find:-

Find the pattern for the given sequence?

Solution:-

Given numbers in the sequence = 1,5,9,13...

First term =1

Secon term = 5

Common difference = 5-1 = 4

=>9-5=4

13-9=4

Since the common difference is same throughout the series

The series is in the AP

General term in the AP = a+(n-1)d

=>an=1+(n-1)4

=>1+4n-4

=>4n-3

The general term=4n-3

or

second term =5=1+4

Third term =9=5+4

Fourth term =13=9+4

General rule:-

Next number = previous number +4

Answer:-

The general formula for the given pattern =4n-3

or

General rule:-

Next number = previous number +4