Arithmetic Sequence and Series
What is the common difference of 24, 41, 58, 75?
17
What is the common ratio of the sequence 10, 30, 90, 270, 810, 2430, ?
3
1/3, 1/9, 1/15,... what is next term?
1/21
What is the degree of the polynomial 3x5 + y² + xy - 5?
What is the general term for an arithmetic sequence?
an=a1+(n-1)d
What is the 9th term of the sequence defined by an=2n-7?
11
The sum of the first six terms of the sequence 3,-6, 12, -24,.. is -63. TRUE or FALSE
TRUE
What is the first term of the Fibonacci sequence whose a3=10?
5
What is the leading term of the polynomial 5x2 + 4x³ - y² + xy
4x³
Find the general term of an arithmetic sequence whose 4th term is 28 with a common difference of 4.
an=12+4n
Find the general term of the sequence where a1=5 and the common difference is -8.
an=13-8n
The first term of a geometric sequence is 192 and the fifth term is 0.75. What is the common ratio?
.25
True or False: The harmonic mean is defined as
x=(a+b) / 2ab
False
Find the sum of 2x2 + 6x + 5 and 3x2 - 2x - 1
5x2 + 4x + 4
The first term of a geometric sequence is 5 and the sixth term is 160. What is the common ratio?
2
What is the Arithmetic mean between the numbers 175 and 35?
105
What is the sum of the first nine terms of the geometric sequence 20, 10, 5, ... ?
Give your answer as a decimal correct to 1 decimal place
39.9
If xn is a Fibonacci number and n =4, what is a4?
an=a2 + a3
(2x2 + 6y + 3xy) + (3x2 - 5xy - x) + (6xy + 5)
5x2 + 6y + 4xy - x + 5
(2x4 - 3x2 + 4) - (3x4 -x3 -2x2 + 2)
-x4 + x3 - x2 + 2
(−2) + (−12) + (−22) + (−32)..., S n = −224
7
How many terms of the geometric sequence
2, 8, 32, 128,...
are required to give a sum of 174,762 ?
9
4, 4, 8, 12,... Give the next 5 terms
20, 32, 52, 84, 136
(x + 2y)(3x − 4y + 5)
3x2 + 2xy + 5x − 8y2 + 10y
Expand (3x + 4)3
27x3 + 108x2 + 144x + 64