Question

Complete the series
8,4,4,6,12,30,_

Answer 1

Series given 8,4,4,6,12,30,.....

8 × 1/2 =4
4 × 1 =4
4 × 3/2 =6
6 × 2 =12
12 × 5/2 =30
30× 3 =90..... answer

so answer is 90

Answer 2

Answer:

The next number of the series 8, 4, 4, 6, 12, 30 is 90.

Solution:

In the given series 8, 4, 4, 6, 12, 30, _

Every odd number observation is derived by multiplying the previous number by a fraction, which is equal to (Odd no. position)/2

And Every even number observation is derived by multiplying the previous number by the Number of even number position from the start.

Accordingly, the series can be derived as.

$\begin{array} { c } { 8 \times \frac { 1 } { 2 } = 4 } \\\\ { 4 \times 1 = 4 } \\\\ { 4 \times \frac { 3 } { 2 } = 6 } \\\\ { 6 \times 2 = 12 } \\\\ { 12 \times \frac { 5 } { 2 } = 30 } \\\\ { 30 \times 3 = 90 } \end{array}$

This is how, the next number of the series 8, 4, 4, 6, 12, 30 is 90.