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steposvetlana [31]
2 years ago
12

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]2 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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First of all, let's note the sales tax rates in each town. In Washington, we know it's 6%. In the town in Virginia, it's 5%. In the town in Maryland, it's 9%.

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To add percents to a whole number, we always multiply using 0.XX (example: to add 1% to a the number 100, we would multiply 100*0.01 and get the answer 1. We'd then add the 1 to the original number, 100, and get 101.)


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For Virginia, the sales tax is 5%. Let's add the 5% using the same method we used in the equation above.

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I hope this answer was in depth enough to help you out so that you can do this on your own in the future. :)

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