Identify if the sequence is arithmetic, geometric, or neither of

Yasmin Camacho

Yasmin Camacho

Answered question

2022-05-19

Identify if the sequence is arithmetic, geometric, or neither of the two. Find the next three terms of the sequence.
2, 3, 5, 9, 17, 33, ...

Answer & Explanation

Campasenabs

Campasenabs

Beginner2022-05-20Added 7 answers

This sequence is neither arithmetic nor geometric. It doesn’t have same common difference and common ratio is not same.
Common difference is multiple of 2
Thus, the next term has the difference 32
33 + 32 = 65
Next difference is 32 × 2 = 64
= 65 + 64 = 129
Next difference is 64 × 2 = 128
= 128 + 129 = 257
Thus, next three terms are 65 , 129 , 257

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