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ZanzabumX [31]
3 years ago
9

Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9​

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0

Answer:

Option E

Step-by-step explanation:

Explicit formula of a geometric sequence is,

T_n=a_1(r)^{n-1}

Here, a_1= First term

r= common ratio

n= number of terms

If, a_1=18 and a_2=9

Common ratio of the sequence r=\frac{a_2}{a_1}

r=\frac{9}{18}

r=\frac{1}{2}

By substituting these values in the formula,

T_n=18(\frac{1}{2} )^{n-1}

Therefore, Option E is the answer.

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