1, 3, 11, 43, 171, 683, what's next in this sequence?

Mathematics · College · Mon Jan 18 2021

llm

Answered on Thu Jul 07 2022

Here, we have to find the next in sequence of 1, 3, 11, 43, 171, 683.

3 - 1 = 2 = 2¹

11 - 3 = 8 = 2³

43 - 11 = 32 = 2⁵

171 - 43 = 128 = 2⁷

683 - 171 = 512 = 2⁹

Now, next term is going to be 2¹¹ + 683

So, 2¹¹ = 2048

Then, 2¹¹ + 683 = 2048 + 683

= 2731

Hence, next term in this sequence is 2731