Question

6,18,75,196.... next number​

Answer 1

Answer:

296 is the next number

Answer 2

Answer:

(2n-1)^2 ×n

405

Step-by-step explanation:

1,18,75,196.... next number

1^2 × 1= 1

3^2 ×2 = 18

5^2 ×3 = 75

7^2 × 4 =196

9^2×5 =405

sequence here is square of odd numbers and then multiplied by 1 , 2 , 3 and so on

so nth number =(2n-1)^2 ×n

putting n =1 , 2, 3 , 4 we will get given 1st 4 numbers and for n = 5 we will get next number in sequence.

for n = 5

2n-1 =2×5 - 1 = 9

9^2 × 5 = 405