Select the numbers from among the given options that can replace the question marks (?) in the following series.
6,7,16,41,?,?,292

Let's find the differences between consecutive terms:
7−6=1=1
2


16−7=9=3
2


41−16=25=5
2


The differences are squares of consecutive odd numbers (1
2
,3
2
,5
2
).
Following this pattern, the next differences should be 7
2
and 9
2
:

First missing term =41+7
2
=41+49=90

Second missing term =90+9
2
=90+81=171

Let's check the final term to verify:

171+11
2
=171+121=292

The pattern is verified, and the numbers are 90 and 171.