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3 years ago

The first three terms of a sequence are given round to the nearest thousand if necessary 204,200,196 find the 31 st term

Mathematics

1 answer:

yanalaym [24]3 years ago

8 0

Answer:

The 31st term is 84

Step-by-step explanation:

Here, we want to calculate the 31st term of the sequence

Firstly, we need to determine the type of sequence herein

As we can see;

200-204 = 196-200 = -4

The relationship between the numbers is a sum, that means the sequence is arithmetic

and; -4 represents the common difference

Mathematically, the nth term of an arithmetic sequence can be calculated using the equation;

Tn = a+ (n-1)d

with respect to the question;

a is the first term = 204

n = 31 and d = -4

Substituting these numbers;

T31= 204 + (31-1)-4

T31 = 204 - 4(30)

T31 = 204 - 120

T31 = 84

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3 years ago

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riadik2000 [5.3K]

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Step-by-step explanation:

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4 years ago

Read 2 more answers

You can walk 3 miles per hour, jog 5 miles per hour, or run 10 miles per hour. You go a full hour before changing pace. At the e

Studentka2010 [4]

Answer:

b. How many ways arc there to go 12 miles?

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c. How many ways arc there to go 20 miles?

≡ p(20) = 131

d. How many ways arc there to go 22 miles?

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Step-by-step explanation:

a) supposed you walked for the first hour. Then you would have travelled 3 miles. if you jogged you would have covered 5miles and if you run you would have covered 10miles. now you have to decide how to run the rest miles from the n miles.

Thus, the number of ways one can cover n miles will be given by the recurrence relation

p(n) = p( n-3) + p( n-5) + p( n - 10)

now to solve the rest of the question, let us make a table which provides the number of ways for n = 1 to 22.

check the attachment for the table

b. How many ways arc there to go 12 miles?

≡ p(12) = 25

c. How many ways arc there to go 20 miles?

≡ p(20) = 131

d. How many ways arc there to go 22 miles?

≡p(22) 199

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3 years ago

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GuDViN [60]

Have you learnt about prime numbers yet? 5 is a prime number so you can't break it up into smaller numbers other than obviously 5*1. 39 is not a prime number. At first glance you should be able to tell that its a multiple of 3 right?
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3 years ago

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The first three terms of a sequence are given round to the nearest thousand if necessary 204,200,196 find the 31 st term￼

The first three terms of a sequence are given round to the nearest thousand if necessary 204,200,196 find the 31 st term