State whether the followng sequence is arithmetic, geometric or neither:
6.6, 7.7, 8.8, 9.9….
Question 2
2.
State whether the followng sequence is arithmetic, geometric or neither:
\frac{1}{2}, -2, 6, -18…..
Question 3
3.
State whether the followng sequence is arithmetic, geometric or neither:
a_n = {3^n} + 1
Question 4
4.
What will be the 55^{th} term of the arithmetic sequence: -15, -9, -3, 3, 9…..?
Question 5
5.
Find the 16^{th} term of the sequence: -81, 27, -9, 3…..
Give your answer as a fraction and show you have used the correct formula for the nth term
Question 6
6.
Which term will 168 be in the sequence: -7, -2, 3, 8…..?
Question 7
7.
Find and simplify a formula for the nth term of:
27, 18, 12, 8….
Question 8
8.
Find and simplifya formula for the nth term of:
5, 9, 13, 17….
Question 9
9.
In a geometric sequence, a_1= 6 and a_4= 750. Find the 8^th term.
Question 10
10.
Evaluate:
\sum_{n=1}^{5} 3(-4)^{n-1}
Question 11
11.
Find S_{15} of 11 + 7 + 3 + -1 + -5…..
Question 12
12.
Find S_{10} of 16 + 8 + 4 + 2…
Keep your answer as a fraction.
Question 13
13.
Find the sum of infinity of the series 320, 80, 20, 5….
Write your answer as a fraction
Question 14
14.
In an arithmetic series S_{10}= 1515 and a_1 = 3. Find the common difference, d.
Question 15
15.
A recursive sequence is defined by a_1= -1 and a_{n+1}= 3a_n+ 5. Find a_5.
Question 16
16.
An employee makes bank deposits as follows: $12.20 the first month, $13.70 the next month, $15.20 the third month and so on for twelve years. Find the sum of the deposits
Question 17
17.
A city has a population of 20,000 in 2000 and the population is increasing by 1.5% every year. What will the population be after 15 years?