Question

Which number should come next in the series 4,9,25,64?

Answer 1

Answer:

The next number is 169.

Step-by-step explanation:

Given information:

The given series is 4,9,25,64.

Concept Used:

Fibonacci series:

Fibonacci numbers are the numbers in the following integer sequence.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …….

Step 1:

The series follows the pattern of the Fibonacci series but the numbers are squared.

$2^2=4, 3^2=9, 5^2=25, 8^2=64, 13^2=169$

Hence, the next number of the given series is 169.

Answer 2

Answer:

169

Step-by-step explanation:

the given series is 4,9,25,64.

by seeing the we can say that the series is the squares of 2,3,5,8,

here, square of 2 , $2^{2}$=4

square of 3, $3^{2}$=9

square of 5,$5^{2}$=25

square of 8,$8^{2}$=64

in this series 2,3,5,8, the next number is 13.(2+3=5,3+5=8,5+8=13)

therefore the square of 13 is 169