joshmaker12
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( INSTANT BRAINLIEST IF ANSWER IS CORRECT!!!!!)

A recursive rule for a geometric sequence is a1=3;an=12an−1.

What is the explicit rule for this sequence?

INSTANT BRAINLIEST IF ANSWER IS CORRECT A recursive rule for a geometric sequence is a13an12an1 What is the explicit rule for this sequence class=

Respuesta :

hey there !!!

here given

an = 1/2 an-1

so common ratio (r) = an/an-1 = 1/2

=) a1 = 3

geometric series is of type

=) a,ar,ar^2,ar^3..........ar^(n-1)

so an = 3×(1/2)^(n-1)
3×(1/2)^(n-1)

The (n) is the common ratio which looks like 1/2 from the question provided.

The 3 is for the first term.

Hope this helps?


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