1,2,6,12,25,48,? find missing number
Answers
Answer:
Next number in the series is 91.
Step-by-step explanation:
1, 2, 6, 12, 25, 48, 91
The Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...) is a series where the next term is the sum of previous two terms. The first two terms of the Fibonacci sequence is 0 followed by 1.
Sequence of natural numbers (1,2,3,4,5,6,7...........)
= n x fib(n)= Natural numbers x Fibonacci number(n)
= 1 x 1 = 1
= 2 x 1 = 2
= 3 x 2 = 6
= 4 x 3 = 12
= 5 x 5 = 25
= 6 x 8 = 48
= 7 x 13 = 91
So on …
Answer:
91
Step-by-step explanation:
Given to find the next number of the series 1, 2, 6, 12, 25, 48, ?
Now there is a series called Fibonacci series. The sum of two preceding numbers is called Fibonacci series. The series goes like this 1, 1, 2, 3, 5, 8, 13, 21, 34 and so on.
Now let n be a set of natural numbers (1,2,3,4,5,6,7...........)
So Z = n x fib(n)
= 1 x 1 = 1
= 2 x 1 = 2
= 3 x 2 = 6
= 4 x 3 = 12
= 5 x 5 = 25
= 6 x 8 = 48
= 7 x 13 = 91
hence the next number in the series is 91.