Question

Determine whether each sequence is arithmetic, geometric, or neither. Then find a formula for the nTh term of the sequence 3,5,9,17...

Answer 1

Answer:

• Neither

Step-by-step explanation:

Given sequence:

• 3, 5, 9, 17, ...

We can write the terms as:

• 3 = 2^1 + 1
• 5 = 2^2 + 1
• 9 = 2^3 + 1
• 17 = 2^4 + 1
• ...
• aₙ = 2^n + 1

As we see the sequence doesn't meet AP or GP criteria, there is no common difference or common factor between the terms