Question

Find the next number in the sequence: 3,6,9, 30, 117......
A. 192 B. 352 C.388 D. 588​

Answer 1

Answer:A) 192

Step-by-step explanation: it is a multiple of three

Answer 2

Answer:

answer is d 588

Step-by-step explanation:

Find the next number in the sequence: 3,6,9, 30, 117......

A. 192 B. 352 C.388 D. 588​

The series follows the following pattern:

3, 6, 9, 30, 117 ?

3 can be written as 3 × 1 + 3 = 3 + 3 = 6

6 can be written as 6 × 2 - 3 = 12 - 3 = 9

9 can be written as 9 × 3 + 3 = 27 + 3 = 30

30 can be written as 30 × 4 - 3 = 120 - 3 = 117

117 can be written as 117 x 5 + 3 = 585 + 3 = 588

We can clearly observe that

For all n > 1

Tn = (n-1)* Tn-1 - 3 , if n is odd

Tn = (n-1)* Tn-1 + 3, if n is even

To get the last number we multiple 117 by 5 and add 3.

So, sixth term of the sequence is 117*5 + 3 = 588

Hope, it helps !