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sveta [45]
2 years ago
11

An arithmetic sequence a starts 2, 5, . .

Mathematics
1 answer:
Whitepunk [10]2 years ago
6 0

Answer:

Tn = 3n-1

T6 = 17

Step-by-step explanation:

Given the arithmetic sequence;

2, 5...

first term a = 2

Common difference d = 5-2 = 3

nth term of an AP is expressed as Tn = a + (n-1)d

Tn = 2 + (n-1)(3)

Tn = 2 + 3n-3

Tn = 3n-1

Get the 6th term

T6 = 3(6)-1

T6 = 18-1

T6 = 17

Hence the 6th term of the sequence is 17

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A city is building a fence around a rectangular playground if the perimeter of the playground is 104 feet and the length of one
34kurt

Answer:

20 ft

Step-by-step explanation:

We know that

Perimeter of rectangle = 2(l + w)

Let the width be w

=> 104 = 2(32 + w)

=> 104/2 = 32 + w

=> 52 = 32 + w

=> 52 - 32 = w

=> 20 = w

Hence z

Width of playground is 20 ft

8 0
2 years ago
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What is the greatest integer n that satisfies 100^2 - n^2 = n^2 - 100^2
Anika [276]

Answer:

n = 100, -100

Step-by-step explanation:

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A b c d I dont know what to choose
Aleks04 [339]

Answer:

Is this like a random question or did you forget to put something? But if it is then B ig

Step-by-step explanation:

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3 years ago
The dishwasher uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dishwasher use to wash 12
Charra [1.4K]

Answer:

The dishwasher will use 80 gallons of water to wash 10 loads of dishes.

Step-by-step explanation:

Given,

Water used for 4 loads of dishes = 32 gallons

Ratio of water used to load of dishes = 32:4

Let,

x represents the gallons of water required for 10 loads of dishes.

Ratio of water used to load of dishes = x:10

Using proportion

Ratio of water used to load of dishes :: Ratio of water used to load of dishes

Product of mean = Product of extreme

Dividing both sides by 4

The dishwasher will use 80 gallons of water to wash 10 loads of dishes.

3 0
2 years ago
Look at the following math problem. 7 × 10 = 70 In this problem, you're multiplying 7 by 10. What is 10 called in this math prob
umka2103 [35]
For this case we have the following expression:
 7 × 10 = 70
 Where, by definition:
 7: multiplying
 10: multiplier
 By definition we have that the multiplier equals the number of times the multiplicand must be added.
 Therefore, 7 * 10 is to add 10 times 7:
 7 * 10 = 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 70
 Answer:
 
Multiplier
3 0
3 years ago
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