A recursive rule for a geometric sequence is a1=49; an=3 (an-1). What is an explicit rule for this sequence? Enter your answer in the box

Question

Mathematics

Kamora

9 October, 02:04

A recursive rule for a geometric sequence is a1=49; an=3 (an-1). What is an explicit rule for this sequence? Enter your answer in the box

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Conor · Answer 1

Each term is multipied by 3

an=a1 (r) ^ (n-1)

first term is 49

r=3

an=49 (3) ^ (n-1)

an=49 (3^-1) (3^n)

an = (49/3) 3^n

the expliciti rule is

an = (49/3) (r^n)