Sequence Sense
This is best defined as a pattern of numbers defined on natural numbers with a specific order.
A sequence
This term refers to the first number in a sequence.
First term (a1)
A sequence is considered finite if it has this characteristic.
A countable number of terms
In an arithmetic sequence, the common difference represents this.
The constant value added between consecutive terms
The general term an= (-1)n×n has this characteristic.
Alternating signs
A piecewise sequence is defined when its general term uses this.
Different formulas
This is the symbol we use to represent summation.
Σ (sigma)
This type of sequence alternates between positive and negative values.
Alternating sequence
In an arithmetic sequence, the common difference is usually represented by this letter.
d
A constant sequence is characterized by this property of its consecutive terms.
Equal terms
Find the 5th term of the arithmetic sequence: 2,5,8,11,…
14
The sequence 2,4,6,8,10 demonstrates this type of pattern.
Increasing pattern
The formula an=a1+(n−1)d represents this.
General term
This is the common difference when you insert one arithmetic mean between 10 and 30.
10
The arithmetic mean between -45 and 15 is this number.
-15
The first term of a sequence is 3 and the common difference is 4. What is the 6th term?
23
Evaluate ∑ (k=1 to 3) k.
6
Find the arithmetic mean of 50 and 86.
68
Find the arithmetic mean between -12 and 34.
11
Find the arithmetic mean of 120 and 156.
138
Insert five arithmetic means between −4 and 38.
3, 10, 17, 24, 31
Insert six arithmetic means between −20 and −76.
-28, -36, -44, -52, -60, -68
This is the single number that lies exactly halfway between two given numbers.
Arithmetic mean
If there are 14 arithmetic means between 25 and 85, find the 7th arithmetic mean.
53
If three arithmetic means are inserted between 8 and 20, what is the common difference?
3