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2 years ago

Find three consctive postive integers such that the prodect of the median integer and the largest integer is 72

Mathematics

1 answer:

Tcecarenko [31]2 years ago

8 0

Answer: 7,8,9

Step-by-step explanation:

Let the numbers be a, a+1 and a+2. Therefore, based on the question, this will be:

= (a + 1)(a + 2) = 72

a² + 2a + a + 2 = 72

a² + 3a + 2 - 72 = a

a² + 3a - 70 = 0

a² + 10a - 7a - 70 = 0

a(a + 10) - 7(a + 10)

a - 7 = 0

a = 7

Since a = 7

a + 1 = 7+1 = 8

a + 2 = 7+2 = 9

The numbers are 7,8 and 9

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2 years ago

Find S5 for a geometric series for which a1=81 and r=1/9.

Minchanka [31]

ANSWER

$S_5=91\frac{10}{81}$

EXPLANATION

The sum of the first $n$ terms of a geometric sequence is given by;

$S_n=\frac{a_1(1-r^n)}{1-r} ,-1$

Where $n$ , is the number of terms and $a_1$ is the first term.

When $n=5$ , we have $a_1=81$ , we get;

$S_5=\frac{81(1-(\frac{1}{9})^5)}{1-\frac{1}{9}}$

$S_5=\frac{81(1-\frac{1}{59049})}{1-\frac{1}{9}}$

$S_5=\frac{81(\frac{59048}{59049})}{\frac{8}{9}}$

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$S_5=91\frac{10}{81}$

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2 years ago

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PtichkaEL [24]

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Step-by-step explanation:

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4 0

2 years ago

Read 2 more answers

David is saving $250 to buy a bicycle. He saved $8 each week for 12 weeks. He wants to buy the bicycle in 7 more weeks. How much

Colt1911 [192]

Answer:

Step-by-step explanation:

Amount saved = $8 x 12 weeks

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Amount to save = $250- $96

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Amount per week= 154/7

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5 0

2 years ago

Wen was hiking on a 12-mile route. During the first 2 hours, his hiking speed was 3 mph. During the rest of the hike, his speed

Mars2501 [29]

The total time taken to cover 12 miles distance is 5 hours.

<u>Given the Parameters</u> :

Total distance hiked = 12 miles

Recall :

Distance = speed × time

Let :

Total Time taken = t

<u>We could create an equation thus</u> :

Total distance = 3(2) + 2(t - 2)

12 = 6 + 2t - 4

12 = 2 + 2t

12 - 2 = 2t

10 = 2t

t = 10/2

t = 5

Therefore, the total time taken is 5 hours

Learn more :brainly.com/question/18796573

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2 years ago