A machine is driving a 5.5 foot post into the ground. The first hit drives the post 18 inches into the ground. The second hit drives the post 11.25 inches further into the ground. If successive distances the machine drives the post into the ground form a geometric sequence and the machine is left to run forever, how far, to the nearest inch, will the post be driven into the ground?

Q: If the third term of a geometric sequence is 12,500 and the sixth term is 800 find the first term…

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Q: The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find…

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A: Hi there, we can answer only one question at a time and you was not specify. so, I have answered…

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Q: Find the first four terms in the sequence with the nth term 6n−2

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A: Givensn=(-1)n(n+1)

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Q: Find the first 4 terms and the 40" term of the arithmetic sequence: 7 3 and d 4 a %3D -

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Q: If the nth term of a sequence is (-1)"+1, which terms are positive and which are negative? п

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Q: The 4 term of a geometric progression is 2 and the seventh is 16 Find the geometric series 18 |

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Q: Find the first 4 terms and the 12th term of the geometric sequence: n а, 3D 1024|

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Q: () What will be the 7th term in the sequence defined by gn = 2 · n-1 Enter your answer as a…

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Q: . a, = 4 anei a, a,-1

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Q: The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term and the…

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Q: In an arithmetic sequence {a1, a2, a3, -} the first term is 5 and the 19th term is 95, then S19 is

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Q: The first term of a geometric sequence is 12, and the third term is 16/3. Find the fifth term.…

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A: 1, 5, 9, 13, 17,........ Clearly it is an arithmetic sequence with

Q: Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 6)…

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Q: Find the first four terms and the eighth term of the sequence.

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Q: In a sequence of numbers, the first term is x and each term thereafter is twice the previous term.…

A: solution is given below

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Q: Given two terms in a geometric sequence find the term named in the problem and the explicit formula.

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Q: Find the tenth term in the sequence. an = n + 2

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Q: If the fifth term of a geometric sequence is 64/27 and the sixth term is 256/81 , find the sum of…

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Q: If the sequence 1, 0.3, 0.09, 0.027 is a geometric sequence, find the sum of the first five terms.

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Q: The 4th term of a geometric progression is 2/3 and the seventh term is 16/81 find the geometric…

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Q: A machine is driving a 4.5 foot post into the ground. The first hit drives the post 16 inches into…

A: Solution is as below

Q: If the nth term of a sequence is (−1) n n 2 , which terms are positive and which are negative?

A: We will plug some values for n to check how the signs change.

Q: Find the sum of the first 20th terms of the given arithmetic progression if the first term is 5 and…

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Q: Find the first four terms and the eighth term of the sequence.

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Q: The nth term in a sequence is an. What is the next term position and value represented?

A: Given that :- nth term of a sequence is an next term position =?

Q: If 5, 25 are two adjacent terms in a geometric sequence ( in that order), then the next term is

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