What is a Sequence - Definition & Examples
Read this topicExplanations 3
- (Video) Finding Patterns by Textbook Tactics This video by Textbook Tactics takes a look at mathematical patterns called sequences. Summary The first example is looking at the d…
By Stefan Cuevas, Zora Gilbert, Alex Federspiel, Joshua Siktar, Amy Feraco, Jonathan Heller, Caroline K
- (Video) Intro to Series and Sequences by Eddie Woo Here is a fantastic video by Eddie Woo where he goes over the basics of sequences and series. In this video he goes over: ∘ Se…
By Alex Federspiel, Zora Gilbert, Amy Feraco, Caroline K
- Sequences Check out this graphic! It covers the main characteristics of sequences. What is a Sequence? A sequence is a list of objects (often numbers) where the order of the obj…
By Caroline K, Jonathan Heller
Problems 37
- Find the missing term in the sequence 5,10,15,?,25,305,10,15,?,25,305,10,15,?,25,30.
- Find the missing term in the sequence 4,16,?,256,10244,16,?,256,10244,16,?,256,1024.
- What is the next term in the sequence 0,1,1,2,3,5,8,13,...0,1,1,2,3,5,8,13,...0,1,1,2,3,5,8,13,...?
- What is the next number in the following sequence? 1,9,25,49,81,...1,9,25,49,81,...1,9,25,49,81,...
- Match a sequence to the following function. f(n)=2×5n−1f(n) = 2 \times 5^{n-1}f(n)=2×5n−1 (Assume the sequence starts when n=1n=1n=1, so the first term is f(1)f(1)f(1).)
- At most, how many regions on a line do 101010 points create? (Alternative formulation: Using only 101010 vertical cuts, how many pieces can you slice a horizontal rope into?)
- What is the pattern in the sequence: 1,3,5,7,9,...?1, 3, 5, 7, 9, ...?1,3,5,7,9,...?
- What is the pattern in the sequence: 2,4,8,16,32,...?2, 4, 8, 16, 32, ...?2,4,8,16,32,...?
- What is the pattern in the sequence: 1,3,2,4,3,5,4,6,5,7,6,8,7,...?1, 3, 2, 4, 3, 5, 4, 6, 5, 7, 6, 8, 7, ...?1,3,2,4,3,5,4,6,5,7,6,8,7,...?
- What is the pattern in the sequence: 2,4,3,6,5,10,9,18,...?2, 4, 3, 6, 5, 10, 9, 18, ...?2,4,3,6,5,10,9,18,...?
- Which function represents the following arithmetic sequence? an=3,5,7,9,...a_{n} = {3, 5, 7, 9, ... }an=3,5,7,9,... (Assume the sequence starts when n=1n=1n=1, so a1=3a_1 = 3a1…
- Which function represents the following arithmetic sequence? an=1,3,5,7,...a_{n} = {1, 3, 5, 7, ... }an=1,3,5,7,... (Assume the sequence starts when n=1n=1n=1, so a1=1a_1 = 1a1…
- Which function represents the following arithmetic sequence? an=0,2,4,6,...a_{n} = {0, 2, 4, 6, ... }an=0,2,4,6,... (Assume the sequence starts when n=1n=1n=1, so a1=0a_1 = 0a1…
- Which function represents the following arithmetic sequence? an=−2,−4,−6,−8,...a_{n} = {-2, -4, -6, -8, ... }an=−2,−4,−6,−8,... (Assume the sequence starts when n=1n=1n=1, so a…
- Write the first five terms of a sequence that begins with 444 and has the rule "Add 888."
- If a sequence of numbers was increasing with a constant difference, you would suspect the pattern was, in some way, related to:
- If a sequence of numbers was decreasing with a constant difference, you would suspect the pattern was, in some way, related to:
- If a sequence of numbers was increasing non-constantly, you would suspect the pattern was, in some way, related to:
- If a sequence of numbers was decreasing non-constantly, you would suspect the pattern was, in some way, related to:
- If a sequence of numbers was erratic (not consistent), you would suspect the pattern was, in some way, related to:
- What rule is this sequence following? 2,4,6,8,102,4,6,8,102,4,6,8,10
- What rule is this sequence following? 10,8,6,4,210,8,6,4,210,8,6,4,2
- What rule is this sequence following? 2,4,8,16,32,…2,4,8,16,32,\dots2,4,8,16,32,…
- What rule is this sequence following? 16,8,4,216,8,4,216,8,4,2
- What rule is this sequence following? −5,7,6,1-5,7,6,1−5,7,6,1
- If Jill got a new fish every year, what rule would she be following?
- If Markus gave away 666 flowers every day, what rule would the number of his remaining flowers be following?
- Every day Matt paints some trees. If each day Matt helped paint six times as many trees as he did the day before, what rule would he be following for the number of trees he pain…
- 1,2,6,24...1, 2, 6, 24...1,2,6,24... What is the next number?
- 5,−10,x,−20,25,−30...5, -10, x, -20, 25, -30...5,−10,x,−20,25,−30... What is x?x?x?
- 1,3,6,10,15...1, 3, 6, 10, 15...1,3,6,10,15... What is the number after 15?15?15?
- 1,3,9,27,81...1, 3, 9, 27, 81...1,3,9,27,81... What is the number after 81?81?81?
- 1,2,2,4,8,32...1,2,2,4,8,32...1,2,2,4,8,32... What is the number after 32?32?32?
- Create a sequence by raising a variable xxx to each natural number power. In other words, write down all nonzero integer powers of xxx in sequence form. What kind of sequence is…
- What number can be placed into the second sequence at xxx in order to make the sequences equivalent? 3,6,2,7,4,43, 6, 2, 7, 4, 43,6,2,7,4,4 3,4,4,7,2,x3, 4, 4, 7, 2, x3,4,4,7,2,x
- Dave and Andy's is a popular local ice-cream shop. In addition to selling ice-cream by the scoop as well as milkshakes, they also sell packed pints and quarts in the summer. The…
- Which of the following sequences are equivalent to: 23,Levert,uWu,0.123, \text{Levert}, \text{uWu}, 0.123,Levert,uWu,0.1?