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marin [14]
3 years ago
7

Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...

Mathematics
1 answer:
saw5 [17]3 years ago
3 0

Answer:

a_{n} = 4 (-5)^{n-1}

Step-by-step explanation:

There is a common ratio r between consecutive terms , that is

r = - 20 ÷ 4 = 100 ÷ - 20 = - 5

This indicates the sequence is geometric with nth term ( explicit formula )

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 4 and r = - 5 , then

a_{n} = 4 (-5)^{n-1}

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Answer:

see explanation

Step-by-step explanation:

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6 0
3 years ago
The population of a pigeons in a city is 100 and is growing exponentially at 20% per year. Write a function to represent the pop
NikAS [45]

Answer:

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Step-by-step explanation:

In general, the function will be written ...

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Here, the growth rate is given as 20% per year, so the growth factor per year is ...

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The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

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2 years ago
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Answer

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