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inessss [21]
3 years ago
7

After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third

term?
Mathematics
1 answer:
irinina [24]3 years ago
7 0

Answer:

The 3rd term is

ar^2

Step-by-step explanation:

From the given information, the first term of the sequence is

a_1=a

The common ratio of the sequence is

r

The explicit formula for a geometric sequence is :

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

To find the third term, we put n=3 to get:

a_n=a(r^{3-1})

This simplifies to:

a_3=ar^2

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