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irina [24]
4 years ago
10

What is a formula for the nth term of the given sequence?

Mathematics
1 answer:
lakkis [162]4 years ago
6 0

Answer: option D is the correct answer.

Step-by-step explanation:

The given sequence is a geometric sequence because the consecutive terms differ by a common ratio.

The formula for determining the nth term of a geometric progression is expressed as

an = a1r^(n - 1)

Where

a1 represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a1 = 36

r = 12/36 = 4/12 = 1/3

Therefore, the formula for the nth term of the sequence is

an = 36 × 1/3^(n - 1)

an = 36 × 3^-1(n - 1)

an = 36 × 3^(-n + 1)

an = 36 × 3^(1 - n)

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A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the temperature has risen to 45 deg
solong [7]

Answer:

3 hours

Step-by-step explanation:

The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.

60 - 45 = 15 degrees

Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees

15 / 5 = 3 hours

8 0
3 years ago
Of the 1,500 muffins a bakery sold in one day, 1/3 were chocolate. how many chocolate muffins did the bakery sell?
lara [203]
That'd be one third of 1500 muffins, or 500 muffins.  
3 0
3 years ago
Read 2 more answers
Rewrite as a quotient of two base- 5 logarithms. Write your answer in simplest form.<br> log 9 =
const2013 [10]
\log(9)=\log_{10}(9)=\dfrac{\log_{5}(9)}{\log_{5}(10)}

In my opinion, that is the simplest form. However, your teacher may want you to remove powers and factors of 5. In that case, the result is ...

=\dfrac{\log_{5}(3^{2})}{\log_{5}(5\cdot 2)}=\dfrac{2\log_{5}(3)}{1+\log_{5}(2)}
6 0
4 years ago
Pls help me solve pls show how you got the answer
jeyben [28]

Answer:

Step-by-step explanation:

p=8 cm

one side=8/4=2 cm

edge of black square=2/4=1/2 cm=0.5 cm

area of one square=(0.5)²=0.25 cm²

total area of two black squares=2×0.25=0.5 cm²

length of white rectangle=2/2=1 cm

width=2/4=1/2 cm=0.5 cm

area of one rectangle=1×0.5=0.5 cm²

area of two rectangles=2×0.5=1 cm²

total area=0.5+1=1.5 cm ²

7 0
3 years ago
asappp please someone help i’ll give brainliest. i’m trying to find x, and by what form like ASA, etc
Alex777 [14]

Answer:

  • x = 40.375

Step-by-step explanation:

<u>∠A≅∠E, ∠B≅∠F and ∠C is common and congruent to itself, therefore</u>

  • ΔABC  ~ ΔEFC by AA similarity

<u>Ratio of corresponding sides is same. Get the equation below and solve for x:</u>

  • EC/AC = CF/CB
  • x/17 = (16+22)/16
  • x/17 = 38/16
  • x/17 = 19/8
  • x = 17*19/8
  • x = 40.375
3 0
3 years ago
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