Find the first four terms of each of the recursively

Rivka Thorpe

Rivka Thorpe

Answered question

2021-08-22

Find the first four terms of each of the recursively defined sequences
dk=k(dk1)2, for all integers k1
d0=3

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-08-23Added 169 answers

The recursive definition of the given sequence is dk=k(dk1)2 for all integers k1
The first term of the sequence isd0=3
Evaluate the second term d1 using dk=k(dk1)2 and d0=3 as shown below
d1=(1)(d11)2
(d0)2
=32=9
Evaluate the fourth term d3 using dk=k(dk1)2 and d2=162 as shown below
d3=(3)(d31)2
=3(d2)2
=3(162)2 =78732

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