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miss Akunina [59]
3 years ago
5

Which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an=5+(n-1)2?

Mathematics
2 answers:
satela [25.4K]3 years ago
7 0

Answer:

A

Step-by-step explanation:

In Arithmetic sequence , 2nd term = first term + d

3rd term = 2nd term + d

In this given explicit formula, we  can find that d =2

an ----> n th term;   an-1 -----> n-1 th term

an = an-1 th term + 2

vova2212 [387]3 years ago
3 0

Answer:

<h2>A.</h2>

Step-by-step explanation:

The given expression is

a_{n}=5+(n-1)2

To right well a recursive formula for arithmetic sequences, we first need to write down the first term of the sequence. So, the recursive formula must have a_{1}=5 in first place. That gives A and B as possible answers.

Then, we have to write the pattern rule to get all terms that goes after the first one. So, if you look closely, choice A is the one that is using a pattern to built the arithmetic sequence. On the other hand, choice B doesn't make sense due to its factor 5, that will not give the same arithmetic sequence.

Therefore, the right answer is A.

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The percentage of the payments made were due to interest is 32.6 %. Then the correct option is B.

<h3>What is the percentage?</h3>

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The following table shows a portion of a five-year amortization schedule.

A 5-year amortization schedule.

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The interest rate on loan: 10. 95 percent.

The table will be

Month         Payment         Principal         Interest         Balance

  15               236.72            155.87            80.85           8704.27

  16               236.72            157.29            79.43           8546.98

  17               236.72            158.73            77.99            8388.25

  18               236.72            160.18            76.54            8228.07

  19               236.72            161.64            75.08            80.66.43

  20              236.72            163.11             73.61             7903.32

Total payment = 6 × 236.72 = $ 1420.32

Total interest = 80.85 + 79.43 + 77.99 + 76.56 + 75.08 + 73.61

Total interest = $ 463.38

Then the percentage will be

\rm Percentage = \dfrac{463.38}{1420.32}*100\\\\Percentage = 32.625 \approx  32.6\ \%

More about the percentage link is given below.

brainly.com/question/8011401

7 0
2 years ago
Nina had 9 apples to share with 5 of her friends. If all 6 people get equal share , how many apples will each person get? How do
Umnica [9.8K]
<span> Nina + her 5 friends = 6 people
Then she has 9 apple to share with her and her friends.
Let’s calculate how many apple will each people get when they equally divide it with each other:
=> 9 – 6 = 3
Thus already have 1 apple each, now, let’s divide the remaining 3 apples
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So they have half of apple each. Let’s add
=> 1 + .5 = 1.5
Each person will get 1.5 apple.
=> 1.5 * 6 = 9</span>



7 0
3 years ago
Read 2 more answers
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