Find the first four terms of the given sequence.
-$$a _ { 1 } = 5 , a _ { n } = \left( a _ { n } - 1 \right) ^ { 2 }$$
A) $5,25,125,625$
B) $5,25,625,390,625$
C) $5,4,9,16$
D) $5,10,20,40$

Question

Quizplus · Accepted Answer

The given sequence starts with $a_1 = 5$. The recursive formula $a_n = (a_{n-1})^2$ means each term is the square of the previous term. So, the sequence is $5, 5^2=25, 25^2=625, 625^2=390,625$.

Find the First Four Terms of the Given Sequence a1=5,an=(an−1)2a _ { 1 } = 5 , a _ { n } = \left( a _ { n } - 1 \right) ^ { 2 }a1​=5,an​=(an​−1)2

Find the First Four Terms of the Given Sequence $a _ { 1 } = 5 , a _ { n } = \left( a _ { n } - 1 \right) ^ { 2 }$