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Given the sequence: 5, 15, 45, 135, ...
a. Express the sequence, an, using an explicit formula.

b. Find the 16th term.

c. Express the sequence, an, using a recursive formula.

 Jun 9, 2021
 #1
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a. using an explicit formula, a(n) = 3*(n-1). n is the term number.

b. the 16th term is 216233605

c. 3^n*5, n is the term number

 

Hope this helps!

 Jun 9, 2021
 #2
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 a. Express the sequence, an, using an explicit formula.

 

an  =  5* (3)^(n - 1)    where  n ≥  1

 

b.  16th term  

 

a16 =   5*(3)^15  =  71744535

 

c. Recursive formula

 

an+1  =   3an                 where  a1   =   5

 

 

 

cool cool cool

 Jun 9, 2021

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