Question

Please tell the next term of the sequence: 60,90,108,120,?

Answer 1

90, 108, 120, 135, 140, 144, 150, 156, 160, 162, 165, 168.

Answer 2

Step-by-step explanation:

Given:-

60,90,108,120

To find:-

the next term of the sequence: 60,90,108,120,?

Solution:-

Given series is 60,90,108,120,...

these numbers are in thes series indicates the interior angles of a regular polygon

The interior angle of a regular polygon of 'n' sides is (n-2)180/n

If n=3 then (3-2)×180/3=180/3=60

If n=4 then (4-2)×180/4=360/4=90

If n=5 then (5-2)×180/5=3×36=108

If n=6 then (6-2)×180/6=4×30=120

If n=7 then (7-2)×180/7=5×180/7=900/7=128.57

If n=8 then (8-2)×180/8=1080/8=135

The series 60,90,108,120,128.57,135

Answer:-

The next numbers a in the given series are 128.57, 135....

Used concept:-

The interior angle of a regular polygon of 'n' sides is (n-2)180/n