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2 years ago

Write the first four terms of the sequence: a = 2 an = a(n-1) + 4

Mathematics

1 answer:

eduard2 years ago

3 0

We have sequence equation $a_n=a(n-1)+4$ .

In this case n is a natural number (1, 2, 3, ...).

So start inserting and computing value of $a_n$ given that you know the value of n and a.

$a_1=2(1-1)+4=4$ (first term)

$a_2=2(2-1)+4=6 \\a_3=2(3-1)+4=8 \\a_4=2(4-1)+4=10$

Hope this helps.

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2 years ago

Read 2 more answers

In 1995, Orlando, Florida, was about 175,000. At the time, the population was growing at a rate of about 2000 per year. Write an

gladu [14]

Answer:

y= 2000 * x + 175000

Step-by-step explanation:

Given is Population is 175,000

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Let x be the population in 1995 which is C= 175,000

y= Population after per year

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6 0

2 years ago

iren [92.7K]

Answer:

Part A: The price of fuel A is decreasing by 12% per month.

Part B: Fuel A recorded a greater percentage change in price over the previous month.

Explanation:

Part A:

The function $f(x)=2.27(0.88)^x$ calculates the price of fuel A each month by multiplying the price of the month before by 0.88.

Month price, f(x)

1 2.27 (0.88) = 1.9976 ≈ 2.00

2 2.27(0.88)² = 1.59808 ≈ 1.60

3 2.27(0.88)³ = 1.46063 ≈ 1.46

Then, the price of fuel A is decreasing.

The percentage per month is (1 - 0.88) × 100 = 12%, i.e. the price decreasing by 12% per month.

Part B.

Table:

m price, g(m)

1 3.44

2 3.30

3 3.17

4 3.04

To find if the function decreases with a constant ration divide each pair con consecutive prices:

ratio = 3.30 / 3. 44 = 0.959 ≈ 0.96

ratio = 3.17 / 3.30 = 0.960 ≈ 0.96

ratio = 3.04 / 3.17 = 0.959 ≈ 0.96

Thus, the price of fuel B is decreasing by (1 - 0.96) × 100 =4%.

Hence, the fuel A recorded a greater percentage change in price over the previous month.

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3 years ago