Arithmetic and Geometric Sequences–writing rules and finding given term – Flashcards
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1.) Tell if the following is a geometric or arithmetic sequence. 2.) Write the formula. 3.) Find the 100th term. 2,5,8,11,...
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1.) arithmetic 2.) y = 3x - 1 or f(x) = 3x - 1 3.) 299
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1.) Tell if the following is a geometric or arithmetic sequence. 2.) Write the formula. 3.) Find the 4th term. 0.3, -0.09, 0.027, ...
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1.) geometric 2.) y=0.3(-.3)^x-1 OR f(x)=0.3(-.3)^x-1 3.) -.0081
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1.) Tell if the following is a geometric or arithmetic sequence. 2.) Write the formula. 3.) Find the 10th term. 12, 24, 48, ...
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1.) geometric 2.) y= 12 (2)^x-1 OR f(x)= 12 (2)^x-1 3.) 6144
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1.) Tell if the following is a geometric or arithmetic sequence. 2.) Write the formula. 3.) Find the 10th term. 7/6, 5/3, 13/6, 8/3,...
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1.) arithmetic 2.) y = 1/2x + 2/3 OR f(x) = 1/2x + 2/3 3.) 5 2/3
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Which term of the arithmetic sequence is {1,4,7,...} is 88?
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Write a rule: f(x) = 3x - 2 OR y = 3x - 2 Substitute in for f(x) OR y and solve for x 88 is the 30th term
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The common ratio (growth factor) in a geometric sequence is .4 and the 4th term is 2.5. Find the 3rd term.
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6.25
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A ball is dropped from a height of 9 feet. The elasticity of the ball is such that it always bounces up one-third the distance it has fallen. How high will the ball bounce back up after the 5th bounce?
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1/9 feet
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Telephone poles are stored in a pile with 25 poles in the first layer, 24 in the second, 23 in the third, and so on. How many telephone poles will be in the 12th layer?
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14 telephone poles
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Identify as arithmetic or geometric. Then find the common difference or common ratio. 80,40,20,10 ...
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Geometric. The common ratio r = 1/2.
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Identify as arithmetic or geometric. Then find the common difference or common ratio. 12, 9, 6, 3 ...
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Arithmetic. The common difference d = -3.
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Identify as arithmetic or geometric. Then find the common difference or common ratio. 1, ¹/₂, ¹/₄, ¹/₈, ¹/₁₆, ...
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Geometric. The common ratio r = ¹/₂.
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A rabbit population grew in the following pattern for the first four generations: 2, 4, 8, 16, ... If all the rabbits live and the pattern continues, how many rabbits will there be in the 8th generation?
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256
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1.) Tell if the following is a geometric or arithmetic sequence. 2.) Write the formula. 3.) Find the 10th term. 13, 9, 5, 1,...,...
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1.) arithmetic 2.) y = -4x + 17 OR f(x) = -4x + 17 3.) -23
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1.) Tell if the following is a geometric or arithmetic sequence. 2.) Write the formula. 3.) Find the 10th term. 512, 256, 128...,...
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1.) geometric 2.) y= 512 (½)^x-1 OR f(x)= 512 (½)^x-1 3.) ½
