Question

Asked Nov 5, 2019

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

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:

u_{n} = 2 x u_{n-1} – 1 for n ≥ 2

and u_{1} = 3

Step 2

We have to find the first four terms, i.e u_{1}, u_{2}, u_{3 }and u_{4}

Put n = 1, u_{1} = 3

Put n = 2, u_{2} = 2 x u_{1} - 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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