24.6k views
0 votes
11
2. What are the next two terms in the pattern
3, 6, 5, 10, 9, 18, 17, ...?

User Gench
by
8.7k points

2 Answers

3 votes

Answer:

Explanation:

The formula for a general term of the sequence may be written: an = {2n+1 2 +1 if n is odd 2n 2 +1 + 2 if n is even}

To avoid the condition on n being odd or even, you can use ( − 1)^n to formulate it as follows: an = (2n+1 2 +1) ⋅ 1 − ( − 1)^n 2 + (2n 2 +1 + 2) ⋅ 1 +( − 1)^n 2

Using this formula, we can calculate the next two terms in the sequence. The seventh term is 34 and the eighth term is 33 1. Therefore, the next two terms in the pattern are 34 and 33.

User StarTrekRedneck
by
8.2k points
6 votes

Answer:

Therefore, the next two terms in the sequence are 20 and 19.

Explanation:

User Alex Jenter
by
8.0k points