Question

6,36,72,_,_,_,_,_??
sixth term kya hoga

Answer 1

sequence is 6 , 36 , 72 , ........

this is based on logical reasoning of number system. we should find the relation to find unknown terms in the given series.

This sequence can be written as ,

6 × 1, 6 × 6 , 6 × 12 , ...... , ...... , ....... ,

first term is 6 × 1 = 6

2nd term is 6 × 6 = 36

3rd term is 6 × 12 = 72

similarly, 4th term is 6 × 18 = 108

5th term is 6 × 24 = 144

6th term is 6 × 30 = 180

..............

so, nth term should be 6 × 6(n - 1)

we have to find 6th term of the given series,

so, 6th term = 6 × 6(6 - 1) = 6 × 6 × 5

= 36 × 5 = 180.​

Answer 2

Given:

The sequence 6, 36, 72, ..

To find:

6th term

Logic:

6 is multiplied by multiples of 6.

Solution:

6 * 1 = 6

Then,

The result is multiplied with 6.

6 * 6 = 36

And so,

6 * 12 = 72

6 * 18 = 108

6 * 24 = 144

6 * 30 = 180

Hence, the series is 6, 36, 72, 108, 144, 180, ..

The 6th term is 180.