Intro to Sequences
This is the term used for each number in a sequence.
What is a term?
What is the common difference in the sequence: 4, 7, 10, 13, ...
What is 3?
This Greek letter is used to represent a sum.
What is sigma (Σ)?
What is the formula for the sum of the first n terms of an arithmetic series?
What is Sn=(a1+an)(n/2)?
What is the condition for an infinite geometric series to have a finite sum?
What is |r|< 1?
What type of sequence has a constant difference between terms?
What is an arithmetic sequence?
What is the common ratio in the sequence: 81, 27, 9, 3, ...?
What is 1/3?
What does this expression mean: Σ4n=1(n)?
What is 1 + 2 + 3 + 4 = 10?
Find the sum of the first 5 terms of the sequence: 4, 8, 12, 16, ...
What is 60?
What is the formula for the sum of an infinite geometric series?
What is S=a1/1-r, if |r|<1?
Find the 4th term of the sequence: 3, 6, 12, 24, ...
What is 24?
Find the 8th term of the arithmetic sequence: 2, 5, 8, ...
What is 23?
Evaluate: Σ3n=1(2n+1)
What is 3+5+7=15?
What is the formula for the sum of the first n terms of a geometric series?
What is Sn=a1(1-rn) / 1-r, where r ≠ 1?
Find the sum of the infinite series: 8, 4, 2, 1, ...
What is 16?
If the 1st term of a sequence is 5 and the 2nd is 10, and it doubles each time, what type of sequence is this?
What is geometric?
Find the 6th term of the geometric sequence: 1, 2, 4, 8, ...
What is 32?
Write the sum 2 + 4 + 6 + 8 using sigma notation
What is Σ4n=1(2n)?
Find the sum of the first 4 terms of 2, 6, 18, 54, ...
What is 80?
Does the series 1+2+4+8+... converge or diverge?
What is diverge?
Describe the pattern of this sequence: 2, 5, 10, 17, 26, ...
What is an increasing nonlinear pattern?
Write the explicit formula for the geometric sequence: 3, 6, 12, 24, ...
What is an = 3 ⋅ 2n-1
What is the value of Σ3n=0 (3n)?
What is 1+3+9+27=40?
A series has a1=5, d=3, and n=10. Find the sum.
Find the sum of the infinite geometric series where a1 =5 and r=1/2
What is 5/1-1/2 = 10?