How do you write the first five terms of the geometric sequence $a_{1} = 1, r = \frac{1}{3}$ $a_1=1, r=1/3$ ?

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How do you write the first five terms of the geometric sequence $a_{1} = 1, r = \frac{1}{3}$ $a_1=1, r=1/3$ ?

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Answer 1 · 2017-03-06T08:18:28

$1, \frac{1}{3}, \frac{1}{9}, \frac{1}{27}, \frac{1}{81}$ $1,1/3,1/9,1/27,1/81$

Explanation:

The standard terms in a geometric sequence are.

$a,ar,ar^2,ar^3,....,ar^(n-1)$

where a is the first term and r the common ratio.

Each term in the sequence is obtained by multiplying the previous term by r, the common ratio.

$a_1=1$

$rArra_2=1xx1/3=1/3$

$rArra_3=1/3xx1/3=1/9$

$rArra_4=1/9xx1/3=1/27$

$rArra_5=1/27xx1/3=1/81$

$"The first five terms are "1,1/3,1/9,1/27,1/81$

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How do you write the first five terms of the geometric sequence $a_{1} = 1, r = \frac{1}{3}$ $a_1=1, r=1/3$ ?

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Explanation:

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How do you write the first five terms of the geometric sequence $a_{1} = 1, r = \frac{1}{3}$ $a_1=1, r=1/3$ ?