Answer:
Simplifying the exponent:
7 = a * 12^3
Evaluating the exponent:
7 = a * 12 * 12 * 12
Multiplying:
7 = a * 1,728
Dividing both sides by 1,728:
Explanation:
To find the second term of a geometric sequence with a common ratio of 12 and the fourth term being 7, we can use the formula for the nth term of a geometric sequence:
nth term = a * r^(n-1)
where "a" is the first term, "r" is the common ratio, and "n" is the term number.
In this case, we are given the fourth term (n = 4) as 7 and the common ratio (r) as 12. We need to find the second term (n = 2).
Let's substitute the values into the formula and solve for the second term:
7 = a * 12^(4-1)