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If a1= 1 and an= (an-1)^2 + 2 then find the value of a4

If a1= 1 and an= (an-1)^2 + 2 then find the value of a4
asked 20.0k views
5 votes
If a1=
1 and an=
(an-1)^2 + 2 then find the value of a4

asked
User David Specht
by
8.8k points

1 Answer

4 votes

Answer:

123

Explanation:


a_(1)=1\\a_(n)=(a_(n-1))^2+2\\a_(2)=(a_(1))^2+2=1^2+2=1+2=3\\a_(3)=(a_(2))^2+2=3^2+2=9+2=11\\a_(4)=(a_(3))^2+2=(11)^2+2=121+2=123

answered
User Stoney
by
7.8k points
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