1. 4, 8, 28, 80, 244,?(a) 728(c) 628b) 428(d) 278

1.	1. 4, 8, 28, 80, 244,?(a) 728(c) 628b) 428(d) 278
Answer» 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

Answer»

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

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