Question
Find the sixth term of the geometric sequence which a1=4 and r=4
Answers
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To find the sixth term of a geometric sequence, we use the formula:
an = a1 * r^(n-1)
where an is the nth term of the sequence, a1 is the first term, r is the common ratio, and n is the term number we want to find.
In this case, a1 = 4, r = 4, and we want to find the sixth term (n=6):
a6 = 4 * 4^(6-1)
a6 = 4 * 4^5
a6 = 4 * 1024
a6 = 4096
Therefore, the sixth term of the sequence is 4096.
an = a1 * r^(n-1)
where an is the nth term of the sequence, a1 is the first term, r is the common ratio, and n is the term number we want to find.
In this case, a1 = 4, r = 4, and we want to find the sixth term (n=6):
a6 = 4 * 4^(6-1)
a6 = 4 * 4^5
a6 = 4 * 1024
a6 = 4096
Therefore, the sixth term of the sequence is 4096.