Sequences and Series Test
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Last updated over 5 years ago
17 questions
1
State whether the followng sequence is arithmetic, geometric or neither:
6.6, 7.7, 8.8, 9.9….
State whether the followng sequence is arithmetic, geometric or neither:
6.6, 7.7, 8.8, 9.9….
1
State whether the followng sequence is arithmetic, geometric or neither:
\frac{1}{2}, -2, 6, -18…..
State whether the followng sequence is arithmetic, geometric or neither:
\frac{1}{2}, -2, 6, -18…..
1
State whether the followng sequence is arithmetic, geometric or neither:
a_n = {3^n} + 1
State whether the followng sequence is arithmetic, geometric or neither:
a_n = {3^n} + 1
3
What will be the 55^{th} term of the arithmetic sequence: -15, -9, -3, 3, 9…..?
What will be the 55^{th} term of the arithmetic sequence: -15, -9, -3, 3, 9…..?
3
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
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
1
Which term will 168 be in the sequence: -7, -2, 3, 8…..?
Which term will 168 be in the sequence: -7, -2, 3, 8…..?
2
Find and simplify a formula for the nth term of:
27, 18, 12, 8….
Find and simplify a formula for the nth term of:
27, 18, 12, 8….
2
Find and simplifya formula for the nth term of:
5, 9, 13, 17….
Find and simplifya formula for the nth term of:
5, 9, 13, 17….
5
In a geometric sequence, a_1= 6 and a_4= 750. Find the 8^th term.
In a geometric sequence, a_1= 6 and a_4= 750. Find the 8^th term.
3
Evaluate:
\sum_{n=1}^{5} 3(-4)^{n-1}
Evaluate:
\sum_{n=1}^{5} 3(-4)^{n-1}
3
Find S_{15} of 11 + 7 + 3 + -1 + -5…..
Find S_{15} of 11 + 7 + 3 + -1 + -5…..
3
Find S_{10} of 16 + 8 + 4 + 2…Keep your answer as a fraction.
Find S_{10} of 16 + 8 + 4 + 2…
Keep your answer as a fraction.
3
Find the sum of infinity of the series 320, 80, 20, 5….Write your answer as a fraction
Find the sum of infinity of the series 320, 80, 20, 5….
Write your answer as a fraction
4
In an arithmetic series S_{10}= 1515 and a_1 = 3. Find the common difference, d.
In an arithmetic series S_{10}= 1515 and a_1 = 3. Find the common difference, d.
0
A recursive sequence is defined by a_1= -1 and a_{n+1}= 3a_n+ 5. Find a_5.
A recursive sequence is defined by a_1= -1 and a_{n+1}= 3a_n+ 5. Find a_5.
3
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
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
3
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?
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?