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.

5 answers

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.
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.
16 and 81 [3]
Insert one geometric mean between 81 and 100.
The geometric means between the first twi terms and geometric sequence is 32 the third term is 4 find the first term