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1. The geometric mean between the first two terms in a geometric sequence is 32. If the third term is 4, find the first term.

2. Insert a geometric mean between k and 1/k.
3. If 2 and 3 are two geometric means between m and n, fond the values of m and n.
4. Three positive numbers from a geometric sequence. If the geomeyric mean of the first two numbers is 6 and tbe geometric mean of the last two numbers is 24, find the three numbers and their common ratio.

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5 answers

  1. Find the sum of the terms of geometric sequence where the first term is 4, the last term is 324 and the common ratio is 3.

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  2. 16 and 81 [3]

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  3. Insert one geometric mean between 81 and 100.

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  4. The geometric means between the first twi terms and geometric sequence is 32 the third term is 4 find the first term

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  5. looks like you expect somebody to do an assignment or homework for you, and you have not shown any work or indication where your problems lie.
    What don' t you understand about these questions.
    They all seem to deal with "geometric mean"

    btw, you will have more luck posting individual problems, showing some steps or work on your part.

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