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DIA [1.3K]
3 years ago
13

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

Mathematics
2 answers:
AysviL [449]3 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]3 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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Lyrx [107]
How did you do that
5 0
3 years ago
0.8% of 150 is what numbers and how do you write the equation with a variable in it.
Tanzania [10]

Answer:

1.2

Step-by-step explanation:

1. First, we have to write an equation with a variable! Given 0.8%, we know that it's equal to (0.8/100), and "of" means to multiply. Therefore, the equation will looks like this: \frac{0.8}{100} * 150 = x

2. Now, let's solve for x!

  • \frac{0.8}{100} * 150 = (0.008)(150)
  • (0.008)(150) = \frac{6}{5}
  • \frac{6}{5} = 1\frac{1}{5}
  • 1\frac{1}{5} = 1.2
  • 1.2

Therefore, 0.8% of 150 is 1.2!

6 0
2 years ago
Rectangle 30 ft wide and 70 feet long. How long would diagonal corners be?
jonny [76]

Answer:

around 76.16

Step-by-step explanation:

30 squared + 70 squared = 5800

square root of 5800 = 76.16

a squared + b squared = c squared

5 0
3 years ago
Solve the equation algebraically x^2=192
lapo4ka [179]
The square root of 192 is 13.856. so the answer is more than likely 14 or 13.85
4 0
3 years ago
Read 2 more answers
PLS HELP IM BEING TIMED 2 FOR BRAINLIEST
taurus [48]

Answer:

figure skates will be $1 cheaper.

Explanation:

<u>given equation</u>:

  • to rent figure skates : f(x) = 1.50x + 2
  • to rent hockey skates : h(x) = 2x +1.5

<u>solve for rent of figure skates</u>:

f(x) = 1.50x + 2.00

f(3) = 1.50(3) + 2.00

f(3) = 6.5

<u>solve for rent of hockey skates</u>:

h(x) = 2x + 1.5

h(3) = 2(3) +1.5

h(3) = 7.5

<u>cheaper - figure skates than hockey skates</u>:

$7.5 - $6.5

$1

4 0
2 years ago
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