Question

1. for each sequence below, determine if 447 is one of the terms of the sequence. if it is, what term is it?

a) ( t(n) = 5n - 3 )
b) ( t(n) = 24 + 5n )

Explanation:

Step1: Set equation for part a

Set $5n - 3 = 447$

Step2: Solve for n (part a)

$5n = 447 + 3 = 450$
$n = \frac{450}{5} = 90$

Step3: Set equation for part b

Set $24 + 5n = 447$

Step4: Solve for n (part b)

$5n = 447 - 24 = 423$
$n = \frac{423}{5} = 84.6$

Answer:

a) 447 is the 90th term of the sequence.
b) 447 is not a term of the sequence, since n must be a positive integer.