Answer: For the first geometric sequence, the missing value is:
1 = -3/2, -2 = 7
To find the missing value, we can use the formula:
an = ar^(n-1)
Where a1 is the first term, r is the common ratio, and n is the term number.
So we know that:
a1 = 1, r = -3/2, n = 3
Plugging these values into the formula:
an = ar^(n-1)
an = 1 * (-3/2)^(3-1) = 1 * (-3/2)^2 = 1 * 9/4 = 9/4
So the missing value is 9/4.
For the second geometric sequence, the missing value is:
2 = 6, 7 = 192
To find the missing value, we can use the formula:
an = ar^(n-1)
Where a1 is the first term, r is the common ratio, and n is the term number.
So we know that:
a1 = 2, r = 7/6, n = 11
Plugging these values into the formula:
an = ar^(n-1)
an = 2 * (7/6)^(11-1) = 2 * (7/6)^10 = 2 * (7/6)^10 = 2 * 7^10 / 6^10 = 9261
So the missing value is 9261.
Explanation: