Find the sixth term of the geometric sequence which a1=4 and r=4
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.
To find the sixth term of a geometric sequence, you can use the formula:
an = a1 * r^(n-1)
In this case, we have a1 = 4 and r = 4, so we can substitute these values into the formula:
a6 = 4 * 4^(6-1)
Simplifying the exponent:
a6 = 4 * 4^5
Now we can calculate the value of 4^5:
a6 = 4 * 1024
Multiplying:
a6 = 4096
Therefore, the sixth term of the geometric sequence with a1 = 4 and r = 4 is 4096.