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If the second term of a geometric progression (G.P) is 8, and the common ratio is positive, find the first 6 terms.

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Final answer:

In a geometric progression (G.P), if the second term is 8 and the common ratio is positive, the first term can be found by dividing 8 by the common ratio.

Step-by-step explanation:

A geometric progression (G.P) is a sequence of numbers where each term after the first is found by multiplying the previous term by a constant called the common ratio. In this question, the second term is given as 8, so we can write the sequence as:

1st term: a

2nd term: 8

3rd term: 8r

4th term: 8r^2

5th term: 8r^3

6th term: 8r^4

Since the common ratio is positive, we can assume that r > 1. To find the value of the first term, we need to find the value of r. Let's use the given information and solve for r:

8 = ar

r = 8/a

Now, we can substitute the value of r in the equations for the first six terms and find their values.

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