Answer: The explicit formula for a geometric sequence is given by:
an = a1 * r^(n-1)
Where a1 is the first term, r is the common ratio, and n is the term number.
Part A) In this sequence, the first term is 4, and the common ratio is 4/1 = 4.
So the explicit formula for this sequence is:
an = 4 * 4^(n-1)
To find the 8th term of this sequence, we can substitute n = 8 into the formula:
a8 = 4 * 4^(8-1)
a8 = 4 * 4^7
a8 = 4 * 16,384
a8 = 65,536
Therefore, the 8th term of this sequence is 65,536.
Explanation: