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Makovka662 [10]
3 years ago
5

HELP

Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0

Answer:

3) 2/3

4) an = 162·(1/3)^(n-1)

Step-by-step explanation:

3) A geometric sequence has a common ratio between adjacent terms. Here, that ratio is ...

r = 54/162 = 18/54 = 6/18 = 1/3

Then the next two terms can be found by multiplying by the common ratio:

6 · 1/3 = 2

2 · 1/3 = 2/3 . . . . . the sixth term

____

4) The generic expression for the n-th term of a geometric sequence with first term a1 and common ratio r is ...

an = a1·r^(n-1)

We can put in the numbers for a1 and r, and we have ...

an = 162·(1/3)^(n-1)

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When two triangles are similar, then the ratios of their corresponding sides will be equal:

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Use the ratio that involves the x and the two values that are given:

2.4/3 = 2.8/x

Then, solve the equation for x to find the missing side:

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