Question
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Directions: Write the expression for the nth term of the following geometric sequence.
5, 10, 20, 40, ...
Directions: Write the expression for the nth term of the following geometric sequence.
5, 10, 20, 40, ...
Answers
Bosnian
10 = 2 * 5
20 = 2 * 10
40 = 2 * 20
I geometric sequence :
an = a1 * r ^ ( n - 1 )
where a1 is the first term of the sequence.
r is the common ratio.
n is the number of the term to find
In this case :
a1 = 5
r = 2
an = a1 * r ^ ( n - 1 )
an = 5 * 2 ^ ( n - 1 )
20 = 2 * 10
40 = 2 * 20
I geometric sequence :
an = a1 * r ^ ( n - 1 )
where a1 is the first term of the sequence.
r is the common ratio.
n is the number of the term to find
In this case :
a1 = 5
r = 2
an = a1 * r ^ ( n - 1 )
an = 5 * 2 ^ ( n - 1 )