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allsm [11]
1 year ago
5

An explained answer

Mathematics
1 answer:
Sholpan [36]1 year ago
5 0

Answer:

  225

Step-by-step explanation:

When you fill in values of n, you find the series is an arithmetic series of 15 terms with a first term of 1 and a common difference of 2. The formula for the sum of such a series can be used.

<h3>Terms</h3>

Looking at terms of the series for different values of n, we find ...

  for n = 1: 2(1) -1 = 1 . . . . . the first term

  for n = 2: 2(2) -1 = 3 . . . . the second term; differs by 3-1=2

  for n = 15: 2(15) -1 = 29 . . . . the last of the 15 terms

<h3>Sum</h3>

The sum of the terms of an arithmetic series is the product of the average term and the number of terms. The average term is the average of the first and last terms.

  Sum = (1 +29)/2 × 15 . . . . . . average term × number of terms

  Sum = 15 × 15 = 225

The sum of the series is 225.

__

<em>Additional comment</em>

Based on the first term (a1), the common difference (d), and the number of terms (n), the sum can also be written ...

  S = (2×a1 +d(n -1))(n/2)

For the parameters of this series, the sum is ...

  S = (2(1) +2(15 -1))(15/2) = 30(15/2) = 225

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PROBLEM SOLVING A game of bowling has ten frames. After five frames, your friend’s bowling score is 65 and your bowling score $x
Elodia [21]

Considering the situation described, we have that:

a. x = 65 - 8 = 57.

b. You won the game, as you scored 137 and your friend 130.

<h3>What is the equation for the situation after five frames?</h3>

Your friend's score is of 65, and your score of x is 8 less than your friend, hence the equation is:

x = 65 - 8 = 57.

<h3>What are the final scores?</h3>

Your friend score doubled, hence his/her final score is:

2 x 65 = 130.

Your score increased by 80, hence your final score is:

57 + 80 = 137.

You won the game, as you scored 137 and your friend 130.

More can be learned about equations at brainly.com/question/25537936

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1 year ago
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Sliva [168]

Answer:

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Step-by-step explanation:

8 0
3 years ago
5/7=x/42 what is the value of x
sasho [114]
5/7 = x/42
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4 0
3 years ago
Michelle has a jar of quarters and dimes totalling to 3.10 if there are sixteen coins in the jar how many more quarters are ther
Sav [38]
Q + d = 16....q = 16 - d
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4 - 0.25d + 0.10d = 3.10
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d = -0.90/-0.15
d = 6...dimes

q + d = 16
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3 years ago
What is 3/5 + 1/2? As in fractions, I can’t figure it out!! :(
ella [17]

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
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