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seropon [69]
3 years ago
7

the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms​

Mathematics
1 answer:
Travka [436]3 years ago
6 0

Answer:

S_5=\dfrac{170}{9}

Step-by-step explanation:

Given that,

The sum of first n term of a sequence isS_n=20-\dfrac{10}{2n-1}

We need to find the sum of the first 5 terms.

Put n = 5,

S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}

So, the sum of first 5 terms is equal to \dfrac{170}{9}.

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8 A video game that usually costs $50 is on sale for $32.50
finlep [7]

The video game is on 35% discount.

Step-by-step explanation:

Cost of video game = $50

Price on sale = $32.50

Amount of discount = Original price - price on sale

Amount\ on\ discount = 50-32.50\\Amount\ on\ discount= \$17.5

Percentage = \frac{Dicount\ Price}{Original\ Price}*100

Percentage=\frac{17.5}{50}*100\\Percentage=\frac{1750}{50}\\Percenatge=35\%

The video game is on 35% discount.

Keywords: Percentage

Learn more about percentages at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

6 0
3 years ago
Camille shaded 12/25 of a model. Write the decimal that represents the shaded portion of the model.
deff fn [24]

Answer: 12/25 is 0.48

because 12 divided into 25 equals 0.48

Step-by-step explanation:I’m sorry if I answered it too late

7 0
3 years ago
What is the GCF of 28a^3 b and 16ab ? <br><br> A)4ab<br> B)4a3b<br> C)28ab<br> D)112a3b2
N76 [4]
28a⁴b: 2 · 2 · 7 · a · a · a · a · b
 16ab: 2 · 2 · 2 · 2 · a · b

GCF(28a⁴b, 16ab) = 4ab

The answer is A.
7 0
3 years ago
John receives two credit card offers in the mail. Credit Card A: 1% introductory APR, 19.9% APR for purchases after the introduc
musickatia [10]

Answer:

(D) "...because he will not have to pay any interest on his purchases during the introductory APR period."

Step-by-step explanation:

There may be many reasons for John to choose one over the other depending on his future and planned usage patterns. However, answer the (D) is the only correct one in terms of stating a reason that is actually supported by the information in the question. Specifically, there is 0% APR for card B.

What's wrong with the other choices:

Choice A: incorrect statement re APR after intro period (is not 1%); B: incorrect statement re cash advance (is not 0%); C: statement is not supported by anything in the information given (it is an assumption, and is unlikely).

5 0
3 years ago
Read 2 more answers
What is the Line that passes through (2,0) and (0,1)
zimovet [89]

To find the slope you use the equation:

m = (y₂-y₁) ÷ (x₂-x₁)

You plug in the two points into this equation to find m (m is the slope)

m = (1 - 0) ÷ (0 - 2)

m = 1 ÷ (-2)

m = - 1/2

Next you use this equation:

y = mx + b

Because you know m you plug it in.

y = -1/2x + b

Now you need to find b. To do so you plug in either of the points into this equation(you come out with the same answer for b)

y = -1/2x + b

1 = -1/2(0) + b

1 = b

Finally you plug in b and you get your new equation.

y = -1/2x + 1

3 0
3 years ago
Read 2 more answers
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