The first four terms in a quadratic sequence are shown below.
6, 16, 32, 54, ...

What is the next term in the sequence?

Question

The first four terms in a quadratic sequence are shown below.
6, 16, 32, 54, ...

What is the next term in the sequence?

king · Answer

82

anonymous · Answer

why?

anonymous · Answer

Thanks can you explain how you got that ?

anonymous · Answer

See, 16 - 6 = 10

32 - 16 = 16

54 - 32 = 22..

So, every number is increasing in terms of 6 like 10, 16, 22, so next increase will be of 28..
Therefore, 54 + 28 = 82 is the answer..

king · Answer

cuz in the first thing 6,16 to get the 2nd term the first term is added by 10
in the second one 16,32 to get 3rd term the 2nd term is added by 16
to get 4th term added by 22
so to get 5 th tern add by 28!

anonymous · Answer

ooh okay i get it @waterineyes i like the way you expained it thanks :)

anonymous · Answer

Welcome dear..