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.
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!
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