Question

4) 1,1,4,8,9,27, 16, 64, m, n,.
n-m es:

Suceciones

Answer 1

m = 25

n = 100

Explanation:

1, 1, 4, 8, 9, 27, 16, 64, m, n, ....

In this series,

• Each term on the odd place is obtained by adding first 'n' odd numbers to the previous term.

First term = 1

Third term = 1 + 3 = 4

Fifth term = 4 + 5 = 9

Seventh term = 9 + 7 = 16

So, ninth term = 16 + 9 = 25

`\boxed{\bf m = 25}`

• Each term on the even place is the cube of natural numbers.

Second term = 1³ = 1

Fourth term = 2³ = 8

Sixth term = 3³ = 27

Eighth term = 4³ = 64

Tenth term = 10³ = 100

`\boxed{\bf n = 100}`