What Are Geometric Sequences?
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- (Video) A Quick Intro to Geometric Sequences by PatrickJMT This video by PatrickJMT teaches about geometric sequences and the common ratio. Summary\large{\text{Summary}}Summary …
By Stefan Cuevas, Alex Federspiel, Amy Feraco, Jonathan Heller, Anusha Rahman
- সংখ্যার এই সিকুয়েন্সটার দিকে একটু খেয়াল কর। 1,2,4,8,16,⋯1, 2, 4, 8, 16, \cdots1,2,4,8,16,⋯ তুমি যদি 323232 বাদেও প্রথমে অন্য কিছু ভেবে থাক, সেটা কিন্তু ভুল না! (আসলে কোনো একটা স…
By Mursalin Habib · বাংলা
- (Video) Geometric Progressions by Eddie Woo Here's some videos by Eddie Woo going over geometric series and sequences. Recall that each successive term in an arithmetic progress…
By Alex Federspiel, Ruiran Xun, Anusha Rahman, Caroline K
- Maximum Depth Exceeded: Fun with Sequences and Python, Part 4 To read part 3 of this story, go here. A geometric sequence is one for which you multiply the same number to any te…
By Joshua Siktar, Caroline K
- Geometric Sequences With geometric sequences, you multiply each previous term by a common ratio. For example, 2,4,8,16,32...2, 4, 8, 16, 32...2,4,8,16,32... , where the common r…
By Anusha Rahman
Problems 23
- What is the common ratio of the geometric sequence 1,2,4,8,16,…?1,2,4,8,16,\dots?1,2,4,8,16,…?
- What is the common ratio of the geometric sequence 1,12,14,18,116,…,1,\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16},\dots,1,21,41,81,161,…, as a decimal?
- Is the following sequence geometric? 1,100,10000,1000000,...{1,100,10000,1000000,...}1,100,10000,1000000,...
- What kind of sequence is this? 1,0.1,0.01,0.001,…1,0.1,0.01,0.001,\dots1,0.1,0.01,0.001,…
- Find the 8th8^{\text{th}}8th term of the following geometric sequence: 1,4,16,… .1,4,16,\dots.1,4,16,….
- Find the common ratio of the geometric sequence with a3=12a_{3} = 12a3=12 and a6=96a_{6} = 96a6=96.
- Find the 8th8^\text{th}8th term of the following geometric sequence: 12,1,2,4,…\frac{1}{2},1,2,4,\dots21,1,2,4,….
- Call a 333-digit number geometric if it has 333 distinct digits which, when read from left to right, form a geometric sequence. Find the difference between the largest and small…
- Suppose that the second term of a geometric sequence is 333 and the fourth term is 272727. List all possible values for the first term of the sequence.
- Is 1,2,4,8,16,…1, 2, 4, 8, 16, \dots1,2,4,8,16,… a geometric sequence?
- Is 1,3,5,7,...1, 3, 5, 7, ...1,3,5,7,... a geometric sequence?
- Is 10,5,2.5,1.25,0.625,…10, 5, 2.5, 1.25, 0.625, \dots10,5,2.5,1.25,0.625,… a geometric sequence?
- Is 1,1,2,3,5,8,13,...1, 1, 2, 3, 5, 8, 13, ...1,1,2,3,5,8,13,... a geometric sequence?
- True or False\text{True or False}True or False === A sequence can be both arithmetic and geometric.
- What is the common ratio of the geometric sequence 1,3,9,27,…?1, 3, 9, 27, \dots?1,3,9,27,…?
- What is the common ratio of the following geometric sequence? 2,8,32,128,…2, 8, 32, 128, \dots2,8,32,128,…
- What is the common ratio of 18,14,12,1,…?\frac{1}{8}, \frac{1}{4}, \frac{1}{2}, 1, \dots?81,41,21,1,…?
- Which function represents the following geometric sequence? an=2,4,8,16,...a_{n} = {2, 4, 8, 16, ... }an=2,4,8,16,... (Assume the sequence starts when n=1n=1n=1, so a1=2a_1 = 2…
- Which function represents the following geometric sequence? an=3,9,27,81,243,...a_{n} = {3, 9, 27, 81, 243, ... }an=3,9,27,81,243,... (Assume the sequence starts when n=1n=1n=1…
- Which function represents the following geometric sequence? an=1,−2,4,−8,16,...a_{n} = {1, -2, 4, -8, 16, ... }an=1,−2,4,−8,16,... (Assume the sequence starts when n=1n=1n=1, s…
- 3,9,27,…3,9,27,\dots3,9,27,… Can the geometric sequence above be represented by a function (where xxx indicates the position of the element in the sequence, and yyy is the eleme…
- The 3rd3^\text{rd}3rd element of a geometric sequence is 444, and the 7th7^\text{th}7th element is 646464. What is the common ratio? Select all possibilities below.
- a,12,c,da,12,c,da,12,c,d is an arithmetic sequence with common difference xxx such that a,c,da,c,da,c,d is a geometric sequence. Given that xxx is not 000, what is the value of …