general formula for the series 1, 5, 23, 119, 719.... ?
Answers
Given data:
1, 5, 23, 119, 719, ?
To find:
The next number in the series.
Solution:
The logic / general formula behind this series is:
Current number = [previous number - a] + b
Where, a starts with 3 and goes on incrementing by 1 from the start.
b starts with 2 and goes on incrementing by 1 from the start.
( 1 x 3 ) + 2 = 3 + 2 = 5
( 5 x 4 ) + 3 = 20 + 3 = 23
( 23 x 5 ) + 4 = 115 + 4 = 119
( 119 x 6 ) + 5 = 714 + 5 = 719
The next number in the series will be:
( 719 x 7 ) + 6 = 5033 + 6 = 5039
Therefore, the next number in the series is 5039
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