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Nastasia [14]
2 years ago
11

The second term of an arithmetic sequence is –5, and the third term is –20. What is the first term?

Mathematics
1 answer:
yaroslaw [1]2 years ago
8 0

Answer:

a₁ = 10

Step-by-step explanation:

The common difference d is calculated as

d = a₃ - a₂ = - 20 - (- 5) = - 20 + 5 = - 15

Then

a₂ - a₁ = d , that is

- 5 - a₁ = - 15 ( add 5 to both sides )

- a₁ = - 10 ( multiply both sides by - 1 )

a₁ = 10

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The decay factor for the annual rate of change of - 55 % is 0.45.

A quantity must vary by a specific percentage each time period in order for growth or decay to be exponential.

With the function displayed to the right, you may represent exponential growth or decay.

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Where A is the amount after x time periods, a is the initial amount, x is the number of time periods, and r is the rate of change.

Now, we have the annual rate of change as:

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From the function A(x) = a( 1 + r)ˣ , the corresponding factor is 1 + r.

So, let B = 1 + r

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6 0
1 year ago
What is the equation of line with a slope m=-1/4 that passes through (2,0)
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