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aniked [119]
3 years ago
5

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a = 3 ; r

= 5
Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer: 1875

Step-by-step explanation:

The nth term of a geometric progression is given as:

= ar^n-1

Given a = 3 ; r = 5, the nth term will be:

= ar^n-1

= 3 × 5^n-1

The fifth term will be:

= 3 × 5^n-1

= 3 × 5^5-1

= 3 × 5⁴

= 3 × 625

= 1875

The fifth term is 1875

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Question 45 An art teacher is cleaning up her room at the end of the week. She combines three jars containing 212 ounces, 825 ou
alexdok [17]

There are 11,375 ounces are still in the bucket ⇒ (not in the choices)

Step-by-step explanation:

An art teacher is cleaning up her room at the end of the week

  • She combines three jars containing 212 ounces, 825 ounces, and 11110 ounces of blue paint in an empty bucket
  • This bucket is then used to fill one can with 414 ounces of the paint and another can with 358 ounces of the paint

We need to find how many ounces of blue paint are still in the bucket

∵ The jars have 212 ounces, 825 ounces, and 11110 ounces of blue paint

∵ She combines all of them in an empty bucket

- Add them to find the quantity of the blue paint in the bucket

∴ The bucket contains = 212 + 825 + 11110

∴ The bucket contains = 12,147 ounces

∵ This bucket is then used to fill one can with 414 ounces of

   the paint and another can with 358 ounces

- Add them to find the quantity that used from the bucket

∵ She used = 414 + 358 = 772

∴ 772 ounces is used to fill the two cans

To find how many ounces of the blue paint are still in the bucket subtract from the total amount of paint in the bucked the amount used to fill the two cans

∵ The remainder paint in the bucket = 12,147 - 772

∴ The remainder paint in the bucket = 11,375 ounces

There are 11,375 ounces are still in the bucket

Learn more:

You can learn ore about the word problem in brainly.com/question/10557938

#LearnwithBrainly

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Akiko leaves the mall and drives directly west at a speed of 60 mph. At the same time, Kosuke leaves the mall and drives 40 degr
Ostrovityanka [42]
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<span>you "know" that the angle between their routes is 140º </span>

<span>the side opposite (140º) is the distance between them... </span>

<span>c^2 = (45)^2 + (135/4)^2 - 2(45)(135/4) cos 140 </span>

<span>c ≈ 74.1 mile

Hope this answers the question.</span>
8 0
3 years ago
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