Question
Asked Nov 5, 2019

Find the first four terms of the sequence with a recursive formula. 

 

= 2 x un-1 - 1, n> 2
- 3, Un
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= 2 x un-1 - 1, n> 2 - 3, Un

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Step 1

We have a recursive formula here. In a recursive formula, every subsequent term is derived from the previous term. In our  case the general recursive formula is:

un = 2 x un-1 – 1 for n ≥ 2

 and u1 = 3

Step 2

We have to find the first four terms, i.e u1, u2, uand u4 

Put n = 1, u1 = 3

Put n  = 2, u2 =  2 x u1 - 1 = 2 x 3 - 1 = 5

Step 3

Put n = 3, u3 = 2 x u2 - 1 = 2 x 5 - 1 = 9

Put n = 4, u4 = 2 x u...

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Tagged in

Math

Calculus

Functions