Find the 8th term of the exponential sequence whose first term is 3 and whose common ratio is 2
To find the 8th term of the sequence, we can use the formula for the nth term of an exponential sequence:
an = a1 * r^(n-1)
where:
an = the nth term
a1 = the first term
r = the common ratio
n = the term number
In this case, a1 = 3, r = 2, and n = 8. Plugging these values into the formula, we get:
a8 = 3 * 2^(8-1)
= 3 * 2^7
= 3 * 128
= 384
Therefore, the 8th term of the exponential sequence is 384.