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Romashka-Z-Leto [24]
3 years ago
9

Express the terms of the following sequence by glving an explicit formula

Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0

Answer:

a_{n} = - 4n + 6

Step-by-step explanation:

There is a common difference between consecutive terms of the sequence

- 2 - 2 = - 6 - (- 2) = - 10 - (- 6) = - 14 - (- 10) = - 4

This indicates the sequence is arithmetic with explicit formula

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = - 4 , then

a_{n} = 2 - 4(n - 1) = 2 - 4n + 4 = - 4n + 6

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Neko [114]

Answer:

PMT is 389.62

Total interest for the loan is $ 1026.32

Step-by-step explanation:

Given formula of monthly payment,

PMT=\frac{P(\frac{r}{n})}{1-(1+\frac{r}{n})^{-nt}}

Where,

P = Present value of the loan,

r = annual rate of interest,

n = number of months in a year,

t = number of years,

Here, P = $13,000, n = 12 months, r = 5% = 0.05, and t = 3 years,

Hence, the monthly payment,

PMT=\frac{13000\times \frac{0.05}{12}}{1-(1+\frac{0.05}{12})^{-36}}

≈ 389.62,

Therefore,

The amount of total interest paid = PMT × nt - P

= 389.62 × 36 - 13000

= 14026.32 - 13000

= $ 1026.32

3 0
3 years ago
PLEASE HELP
Deffense [45]

Answer:

  • volume: 18 ft³
  • surface area: 42 ft²

Step-by-step explanation:

The volume of a cuboid is the product of its dimensions:

  V = LWH = (3 ft)(3 ft)(2 ft)

  V = 18 ft³

The area is the sum of the areas of the faces. Since opposite faces have the same area, we can figure the area from ...

  A = 2(LW +H(L+W)) = 2((3 ft)(3 ft) +(2 ft)(3 ft +3 ft)) = 2(9 ft² +12 ft²)

  A = 42 ft²

3 0
3 years ago
A 1L bag of Normal Saline must infuse over 6 hours using tubing calibrated to deliver 20gtts/mL. How many drops per minute shoul
sammy [17]

Answer:

total drop per minute is 56

Step-by-step explanation:

Give data:

total capacity of bag 1 L = 1000 ml

Duration of infuse 6 hr

quantity at the time delivered is 20 gtts/ml

Drop per minute can be determined by using following relation

Drop per minute = \frac{1000 ml\times 20 gtts/ml}{6\times 60 min} = 55.55 gtt

therefore total drop per minute is55.55 \approx 56

4 0
4 years ago
Make a Prediction Predict the sum of 2 + 2. Explain
Paul [167]

Answer:

4

Step-by-step explanation: what number line

4 0
3 years ago
Which value of x makes the open sentence true?
xeze [42]

Answer:

x=1/2 or 0.5

B. 0.5

Step-by-step explanation:

Step one: Add x to both sides

you then get the equation 7=4x+5

Step two: subtract 5 from both sides

you then get the equation 2=4x

Divide both sides by 4 to undo the multiplication.

2/4=4x/4x

you get x=2/4 which simplifies to 1/2.

7 0
3 years ago
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