Question

2,5,15,60,280,....?​

Answer 1

Step-by-step explanation:

The given series goes in three steps:

Step 1: the series is 2, 5, 15, 60, 280. The difference between them is calculated as the series 3, 10, 45, 220.

Step 2: Again calculate the difference in the derived series, it comes like 7, 35, 175.

Step 3: We can notice from the series that

7*5=35

35*5=175, and hence the next number in the series will be

175*5=875

So, add this 875 to derived series i.e 220+875=1095

Then the series become 3,10,45,220,1095.....

Similarly add this 1095 to the given series,

Then the series become 2,5,15,60,280,1375......

Hence the next term in the series would be "1375".