Question

Number series 10, 16, 39, 140, 675, ?

Answer 1

Answer:4014

Step-by-step explanation:

10 * 2 - 4 = 16

16 * 3 - 9 = 39

39* 4 - 16 = 140

140 * 5 - 25 = 675

675 * 6 - 36 = 4014

Answer 2

Answer:

4014

Step-by-step explanation:

10, 16, 39, 140, 675

10

10 * 2  - 2²  = 20 - 4 = 16

16 * 3  - 3²  = 48 - 9 = 39

39* 4  - 4² = 156 - 16 = 140

140 * 5 - 5² = 700 - 25 = 675

675 * 6 - 6² = 4050 - 36 = 4014

Rule is

nth number  = (n-1)th number  * n  - n²

or nth number = n ( (n-1)th number - n)

10

2 * (10 - 2) = 16

3 * (16 - 3) = 39

4 * (39 - 4) = 140

5 * (140 - 5) = 675

6 * (675 - 6) = 4014