Question

51.A sequence t is defined where the first term is –4. Each successive term is 3 more than the term before it.
(a)Write an explicit formula for the sequence t.
(b)A second function is defined as s(n) = 2 + 2n. Compare the rates of change of t(n) and s(n).
(c)For what value(s) of n does t(n) = s(n)? Show your work.

Answer 1

t(n) = 3n - 4 , were n > 0, n ∈ I

rate of change of t(n) is 3
rate of change of s(n) is 2

set t(n) = s(n)
3n-4 = 2 + 2n
n = 6