Question

if 4,8,28,80,244,... what comes next

Answer 1

Hi ,

Given series is 4 , 8 , 28 , 80 , 244 , __

We have find out pattern between the numbers.

i ) 3 ^1 + 1 = 3 + 1 = 4

ii ) 3 ^2 - 1 = 3 × 3 - 1 = 9 - 1 = 8

iii ) 3 ^3 + 1 = 3 × 3 × 3 + 1 = 27 +1 = 28

iv ) 3 ^ 4 - 1 = 3 × 3 × 3 × 3 - 1 = 81 - 1 = 80

v ) 3 ^5 + 1 = 3 × 3 × 3 × 3 × 3 + 1 = 243 + 1 = 244

vi ) 3 ^6 - 1 = 3 × 3 × 3 × 3 × 3 × 3 - 1 = 729 -1 = 728

Required next number in the series = 728

I hope thos will usful to you.

******

Answer 2

The next number in the given pattern is 728

Given,

The pattern of numbers 4,8,28,80,244,...

To Find,

The next number in the given pattern

Solution,

Our objective here is to establish a pattern for the given pattern of numbers and hence, find the next number in the pattern

We can write each of the terms in the given pattern as follows:

$4 = 3^1 + 1\\\\8 = 3^2 - 1\\\\28 = 3^2 + 1\\\\80 = 3^4 - 1\\\\244 = 3^5 + 1$

Therefore, the next number would be $3^6 - 1 = 728$

Hence, the pattern would be 4, 8, 28, 80, 244, 728

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