Formula for geometric sequence
an=a1(r)^n-1*use formula to sub for n
The formula for a geometric sequence is:
a(n) = a(1) * r^(n-1)
where:
a(n) is the nth term in the sequence
a(1) is the first term in the sequence
r is the common ratio of the sequence
This formula allows you to find any term in a geometric sequence, provided you know the first term (a(1)) and the common ratio (r). To use the formula, you simply substitute the values of n, a(1), and r to get the value of a(n).
For example, suppose you have a geometric sequence with a first term of 2 and a common ratio of 3. To find the 5th term in the sequence, you would use the formula:
a(5) = 2 * 3^(5-1)
a(5) = 2 * 3^4
a(5) = 2 * 81
a(5) = 162
So the 5th term in the sequence would be 162.
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