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Mariana [72]
3 years ago
7

Use the explicit rule to find the 22nd term of the sequen e 5,8.11

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer:

68

Step-by-step explanation:

The first differences of the given terms are ...

8 -5 = 3

11 -8 = 3

These are the same value, so we see this sequence is an arithmetic sequence with a common difference of 3. The first term is 5.

The explicit formula for the n-th term is ...

an = a1 +d(n -1)

We know a1=5, d=3, and we want to find the value for n=22. Hence ...

a22 = 5 +3(22 -1) = 5 +63 = 68

The 22nd term is 68.

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Answer:

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Step-by-step explanation:

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Mrs Shepard rode her bike 5.25 miles in 0.7 hours how fast was she going in miles per hour
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3 years ago
Which expression can be used to change 75 kilometers per hours to meters per minute?
Artemon [7]
The fractions you use must be the correct conversion factors.

1 km = 1000 m, so you can have the fraction (1 km)/(1000 m) or the fraction (1000 m)//(1 km). You must choose the correct one for this problem.

1 hr = 60 min, so you can have the fraction (1 hr)/(60 min) or the fraction (60 min)/(1 hr). Again, you must choose the correct one for this problem.

The important thing is to choose the correct fraction from the choices.
How do you know which conversion fractions to use?
You look at the given units and the units you want.
You must pick the conversion fraction that will cancel out the units you DON'T want, leaving the units you want.

You have a speed in km/hr.
km is in the numerator. To cancel out km, you must pick the conversion fraction that km in the denominator.
hr is in the denominator. To cancel out hr, you must pick the fraction that has hr in the numerator.

75 \frac{km}{hr} \times \frac{1000~m}{1~km} \times \frac{1~hr}{60~min}

Notice that km and km cancel out leaving m.
Also, hr and hr cancel out leaving min.
4 0
3 years ago
Use the tables to complete the statements,
Blababa [14]

Answer:

Short term Capital gain and $1200

Step-by-step explanation:

Any investment held under a year falls under short term capital gain

5,000 X 0.24 = 1,200

6 0
3 years ago
101/25converted to a mixed number
elena55 [62]
101÷25
4 with a remainder of 1/25
4 1/25
6 0
3 years ago
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