Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions. a) an = (an−1)2 , a1 = 2 ( Just find its general formula )

Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions. a) an = (an−1)2 , a1 = 2 ( Just find its general formula )

asked 2021-02-05
Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions.
a) an = (an−1)2 , a1 = 2 ( Just find its general formula )

Answers (1)

The given recurrence relation is: an=2an-1, a1=2
Note thet
Therefore we find the general term is \(\displaystyle{a}{n}={2}^{{n}}\), for \(\displaystyle{n}∈{N}\). Prove: Note that

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