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zlopas [31]
3 years ago
10

The first term of a geometric sequence is −2 and the common ratio is 3. What is the fourth term of the sequence?

Mathematics
1 answer:
Elden [556K]3 years ago
6 0

Answer:

Step-by-step explanation:

The formula for a geometric sequence is

a_n=a_1*r^{n-1} where n is the position in the sequence, a1 is the first number in the sequence, and r is the common ratio. For us, a1 = -2 and r = 3, n = the 4th term:

a_4=-2*3^{4-1} and

a_4=-2*3^3 and

a_4=-2*27 so

a_4=-54

The 4th term in the geometric sequence is -54.

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