Find the 8th of an exponential sequence whose first term is 3 and common ratio is 2
The formula for an exponential sequence is given by:
an = a1 * r^(n-1)
where:
an = nth term of the sequence
a1 = first term of the sequence
r = common ratio
n = term number
In this case, the first term (a1) is 3 and the common ratio (r) is 2. The 8th term can be calculated as follows:
a8 = 3 * 2^(8-1)
Simplifying the exponent:
a8 = 3 * 2^7
Now, calculate the value of 2^7:
a8 = 3 * 128
Finally, multiply 3 by 128:
a8 = 384
Therefore, the 8th term of the exponential sequence with a first term of 3 and a common ratio of 2 is 384.