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1.Describe how to find the nth term of 1,3,9,27,...

2.Explain what happens to the terms of a geometric sequence when the common ratio,r,is doubled. Justify your answer.

3.Explain what happens to the terms of a geometric sequence when the first term,t1,is doubled

2007-02-09 17:22:09 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

5 answers

1: nth term is 3^n-1 (see how 27, which is the 4th term is 3 raised to the power of 3, 9, which is the 3rd term is 3 raised to the power of 2 etc.).

2. If r, the commonratio is doubled, we have the sequence: 1, 6, 36, 216, ....and nth term becomes 6^n-1

3. If the first term is doubled, the sequence becomes: 2, 6, 18, 54, ... and the nth term becomes 2 (3 ^n-1).

2007-02-09 18:22:38 · answer #1 · answered by Swamy 7 · 0 0

1. the nth term of 1, 3, 9, 27,... is 3^(n-1)
2. The nth term becomes a(2r)^(n-1)
3. When the first term is doubled every term is doubled if the first term has not been factored out. If the first term has been factored out, doubling the remaining first term (1) yields a∑ becomes a(1 + ∑)

2007-02-09 18:24:09 · answer #2 · answered by Helmut 7 · 0 0

common ratio is 3
so n th term is 3^(n-1)

when r is doubled nth term becomes (6^(n-1)).

when first term is doubled 2(3^(n-1)).

2007-02-09 17:33:09 · answer #3 · answered by san 3 · 0 0

God is a trinity of persons: the Father, the Son, and the Holy Spirit. The Father is not the same person as the Son; the Son is not the same person as the Holy Spirit; and the Holy Spirit is not the same person as Father. They are not three gods and not three beings. They are three distinct persons; yet, they are all the one God. Each has a will, can speak, can love, etc., and these are demonstrations of personhood. They are in absolute perfect harmony consisting of one substance. They are coeternal, coequal, and copowerful. If any one of the three were removed, there would be no God.

2016-03-29 00:33:42 · answer #4 · answered by Kathleen 4 · 0 0

1) muliply by 3

2) 1,6,36,216..... sorry, i can't explain what happen to the terms,

3) the terms double. 2,6,18,54......

2007-02-09 17:29:17 · answer #5 · answered by      7 · 0 0

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