Explicit Formulas - Definition & Examples
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- (Video) Explicit Formulas by fethermath The video above by fethermath gives a more general description of explicit formula. Summary\large{\text{Summary}}Summary An explicit form…
By Stefan Cuevas, Alex Federspiel, Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
- (Video) Writing Explicit Formula of a Sequence by Brian McLogan Here's a quick but great video by Brian McLogan on how to figure out the explicit formula for a sequence. Summary…
By Alex Federspiel, Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
- Maximum Depth Exceeded: Fun with Sequences and Python, Part 3 To read part 222 of this story, go here. If we are asked to find an explicit formula for a sequence, it helps to st…
By Joshua Siktar, Jonathan Heller, Caroline K
- Explicit Formulas for Sequences An explicit formula allows you to you directly calculate the nthn^{th}nth term in a sequence. It makes it easy to calculate whatever term you wan…
By Caroline K
Problems 22
- Find an explicit formula for the nthn^{\text{th}}nth term of the sequence above.
- Find the explicit formula for the nthn^{\text{th}}nth term of the arithmetic sequence 1,7,13,19,25,31,37,…,1,7,13,19,25,31,37,\dots,1,7,13,19,25,31,37,…, where n=1n=1n=1 for the…
- Convert the following recursive formula for h(n)h(n)h(n) to an explicit formula. h(0)=1h(0) = 1h(0)=1 h(1)=1h(1) = 1h(1)=1 h(n)=n⋅h(n−1)h(n) = n\cdot h(n-1)h(n)=n⋅h(n−1)
- Convert the following recursive formula for g(n)g(n)g(n) to an explicit formula. g(0)=0g(0) = 0g(0)=0 g(1)=1g(1) = 1g(1)=1 g(n)=n+g(n−1)g(n) = n + g(n-1)g(n)=n+g(n−1)
- Convert the following recursive formula for g(n)g(n)g(n) to an explicit formula. g(0)=0g(0) = 0g(0)=0 g(1)=1g(1) = 1g(1)=1 g(n)=n2+g(n−1)g(n) = n^2 + g(n-1)g(n)=n2+g(n−1)
- Find an explicit formula for the nthn^{\text{th}}nth term of the following sequence: 1,4,7,10,13,16,19,...1, 4, 7, 10, 13, 16, 19,...1,4,7,10,13,16,19,...
- Find the explicit formula for the nthn^{\text{th}}nth term of the following sequence: −1,0,1,2,3,4,5,…-1, 0, 1, 2, 3, 4, 5,\dots−1,0,1,2,3,4,5,…
- Find the explicit formula for the nthn^{\text{th}}nth term of the sequence above, starting when n=1n=1n=1.
- Find the explicit formula for the nthn^{\text{th}}nth term of the sequence above, starting when n=1n=1n=1.
- Find an explicit formula for the nthn^{\text{th}}nth term of of the following sequence: 4,5,6,7,8,9,10,11,...4, 5, 6, 7, 8, 9, 10, 11, ...4,5,6,7,8,9,10,11,...
- Find an explicit formula for the nthn^{\text{th}}nth term of the following sequence: 1,3,5,7,9,...{1,3,5,7,9, ...}1,3,5,7,9,....
- What is the 5th5^{\text{th}}5th term in the sequence?
- The explicit formula for the nthn^{\text{th}}nth term of a sequence is 2n+12n+12n+1. What is the 4th4^{\text{th}}4th term in the sequence?
- What is the 11th11^{\text{th}}11th term in the sequence?
- What is the 3rd3^{\text{rd}}3rd term in the sequence?
- What is the 2nd2^{\text{nd}}2nd term in the sequence?
- What is the 1st1^{\text{st}}1st term in the sequence?
- Find the 10th10^{\text{th}}10th term for the sequence: 1,0.5,0.33‾,0.25,⋯1,0.5,0.\overline{33},0.25,\cdots1,0.5,0.33,0.25,⋯
- What is a5a_5a5?
- What is a5a_5a5?
- Find the 100th100^{\text{th}}100th term in the sequence: 7,10,13,16,19,⋯7,10,13,16,19,\cdots7,10,13,16,19,⋯
- Find the 6th6^{\text{th}}6th term in the sequence: 2,5,10,17,26,⋯2,5,10,17,26,\cdots2,5,10,17,26,⋯