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Q: Which sequence is a geometric sequence having 4 as its first term and 3 as the common ratio?

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Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5

-1,024

36

11.27357

It is 1062882.

A geometric series represents the partial sums of a geometric sequence. The nth term in a geometric series with first term a and common ratio r is:T(n) = a(1 - r^n)/(1 - r)

This is a geometric sequence of the form a, ar, ar^2, ar^3, ... where a is the first term and r is the common ratio.In our case, the first term a = 2, and the common ratio r = 5.The nth term of such a sequence isan = a r^(n -1).

nth term Tn = arn-1 a = first term r = common factor

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It is a*r^4 where a is the first term and r is the common ratio (the ratio between a term and the one before it).

The geometric sequence with three terms with a sum of nine and the sum to infinity of 8 is -9,-18, and 36. The first term is -9 and the common ratio is -2.

The ball does not return to its initial height after bouncing. So the height it reaches after the first bounce will be a fraction of the initial height, etc. This is a geometric sequence with common ratio 5/8.

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