Question

Choose the option to replace the question mark in the image given below.
2,9,64,625,?
a)1025
b)4580
c)5677
d)7776

Answer 1

Answer:

option (d) 7776

Step-by-step explanation:

${2}^{1} = 2 \\ {3}^{2} = 3 \times 3 = 9 \\ {4}^{3} = 4 \times 4 \times 4= 64 \\ {5}^{4} = 5 \times 5 \times 5 \times 5 = 625 \\ {6}^{5} = 6 \times 6 \times 6 \times 6 \times 6 = 7776$

Answer 2

Answer:

7776

Step-by-step explanation:

This is a question on series.

This is a simple pattern in that the numbers given have each been raised to the power of their position in the series

For instance 2 is the first number in the series therefore it has been raised to the power of 1 to get 2 , that is

2¹ = 2

The next number is 3 and it is in the 2nd position so it has been squared

3² = 9

It is followed by 4 which is in the third position

4³ = 64

The next number is 5 which is in the fourth position

5⁴ = 625

It is now easier to get the missing number because we understand the pattern

The next number is 6 and it is in the fifth position

6^5 = 7776.