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DIA [1.3K]
4 years ago
13

Find the 100th term of the following arithmetic sequence 5.5, 6, 6.5, 7, ...

Mathematics
2 answers:
AysviL [449]4 years ago
8 0

Answer:

  55

Step-by-step explanation:

The n-th term of an arithmetic sequence is given by the formula ...

  an = a1 + d(n -1)

where a1 is the first term (5.5) and d is the common difference (0.5).

So, the n-th term is ...

  an = 5.5 +0.5(n -1) = 5.0 +0.5n

For n = 100, the term is ...

  a100 = 5.0 +0.5(100) = 55

The 100th term of the sequence is 55.

riadik2000 [5.3K]4 years ago
5 0

Answer:

55.

Step-by-step explanation:

The explicit formula for the nth term is  a1 + d(n - 1).

Here d = 6 - 5.5 = 0.5 and a1 = 5.5.

So the 100th term = 5.5 + 0.5(100-1)

= 55.

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Answer:

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Step-by-step explanation:

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3 years ago
Write in slope intercept form an equation of the line that passes through the points (-5,6) and (3,10)
lisov135 [29]

Answer:

y= 1/2x + 17/2

Step-by-step explanation:

First, find your slope using y-y1/x-x1. This is your expression: 10-6/3--5. 10-6 equals 4, and 3--5 equals 8. Your slope is 4/8, but it can be simplified to 1/2. This should be your current equation: y=1/2x+b. Plug in one of your ordered pairs to the equation, it doesn't matter which pair you want to use. I'm using the second ordered pair, so this is what you would have: 10=1/2(3)+b. Multiply 1/2 by 3 to get 3/2. This is what it should look like: 10=3/2+b. Subtract 3/2 from both sides to get your y-intercept of 17/2. Go back to your original equation and plug in your y-intercept. This is your final answer: y= 1/2x + 17/2. Hope this helped!

5 0
3 years ago
A monument has a base and a statue. The base is a rectangular prism that measures 4 ft by 6ft by 2 ft. The statue is a cube with
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Using all or some of the digits 2, 3, 4 and 5, edward writes numbers greater than 500 without repeating digits. for example, he
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The total numbers he would have is 30.

<h3>How many numbers will he have?</h3>

The following numbers can be formed using the given numbers that are greater than 500:

523, 532, 542, 543, 524, 534, 2345, 2435, 2354, 2453, 2543, 2534, 3245, 3254, 3425, 3452, 3542, 3524, 4235, 4253, 4325, 4352, 4523, 4532, 5234, 5243, 5432, 5423, 5342 and 5324.

Here is the complete question:

Using all or some of the digits 2,3,4,5 write numbers greater than 500 without repeating digits how many numbers will i have

To learn more about numbers, please check: brainly.com/question/19628082

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6 0
2 years ago
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