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yan [13]
3 years ago
5

What is the 9th term of a geometric

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
7 0

Answer:

Step-by-step explanation:

The formula for an explicit geometric sequence is

a_n=a_1*r^{n-1 where n is the position of the number in the sequence (ours will be 9 since we are looking for the 9th term), a1 is the first term in the sequence (ours is given as 12), and r is the common ratio (ours is given as -3). Filling all of that in to get the explicit formula we need:

a_n=12*(-3)^{n-1 and solving for the 9th term:

a_9=12*(-3)^8 which gives us, simplified a bit:

a_9=12(6561) so

a9 = 78,732

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