Question

if 2,8,26,62,122,212 what will be next ​

Answer 1

the next will be 338

Answer 2

Answer:  338

Step-by-step explanation:

The given sequence : 2,8,26,62,122,212

Here the difference between each pair of consecutive terms are :-

$8-2=6\\26-8=18\\62-26=36\\122-62=60\\212-122=90$  (1)

Also, we can see that the difference between the differences are :-

$18-6=12\\36-18=18\\60-36=24\\90-60=30$

We observe that there is a pattern of multiples of 6 in  difference between the differences.

Then next difference  between the differences =30+6=36

Then from (1), the next term will be = 36+90+212=338