Question

If an = 6 (0.5)n-1- then a9 = ?
a. 0.01171875
b. 19683
c. 0.0234375
d. 10​

Answer 1

To calculate the ninth term (a9) of the sequence, we substitute 9 for n in the formula an = 6 (0.5)n-1 and simplify. The result is a9 = 0.0234375, which corresponds to answer choice (c).

Step-by-step explanation:

To find the value of a9 using the given sequence formula an = 6 (0.5)n-1, we need to substitute 9 for n.

So, a9 = 6 (0.5)9-1 = 6 (0.5)8.

We calculate (0.5)8 by multiplying 0.5 by itself 8 times:

(0.5)8 = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.00390625

Now we multiply this result by 6:

a9 = 6 * 0.00390625 = 0.0234375

Thus, the answer is (c) 0.0234375.