15.4k views
3 votes
If anyone can help me to write recursive and explicit definition for this sequence I'm giving extra points!!

If anyone can help me to write recursive and explicit definition for this sequence-example-1
User Harry Boy
by
5.2k points

1 Answer

5 votes

Explanation:

Each term is 2 more than the previous term, and the first term is 12, so the recursive formula is:


a_(n)=a_(n-1)+2, a_(1)=12

This is an arithmetic sequence, so the explicit formula is:


a_(n)=12+2(n-1)\\a_(n)=10+2n

The next three terms are 20, 22, 24.

User Nirav Hathi
by
5.5k points