# This is the single ```Review of Sequences - Homework
an  a1  (n  1)d
Sn 
n
(a1  an )
2
an  a1r n 1
Sn 
a1 (1  r n )
1 r
 r
A  P 1  
 n
nt
1) What is the eighth term of the
Fibonacci sequence?
2) What is the 7th term of the sequence
defined as follows:
The first term is 9 and an  5an1  3
n2?
3) What is the 18th term of an arithmetic
sequence when the first term is 4 and
the common difference is 7? You must
use a formula.
for
4) For the sequence 2, 7, 12, 17,…
a) Write a formula for the nth term.
b) Find the 18th term of this sequence:
You must use a formula.
5) What is the sum of the first 70 terms of
an arithmetic sequence when the first
term is 15 and the common difference
is 3? You must use a formula.
6) Find the sum of the first 60 terms of
this sequence: You must use a formula.
12, 19, 26, 33…
7) Find this sum. You must use a formula. 8) What is the 12th term of a geometric
sequence when the first term is 4 and
60
the common ratio is 3? You must use a
6i

formula.
i 1
9) For the sequence 3, 12, 48, 192,…
a) Write a formula for the nth term.
10) Find the sum of the first 12 terms of
this sequence: You must use a formula.
5, 10, 20, 40,…
b) Find the 8th term of this sequence:
You must use a formula.
11) Find this sum. You must use a formula. 12) A job pays a salary of \$36,000 the first
8
year. During the next 5 years, the
3( 4)i

salary increases by 2% each year. What
i1
is the total salary paid over the 5 year