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2 years ago

Find the 76th term on the arithmetic sequence 4, 7, 10, 13

Mathematics

1 answer:

sveta [45]2 years ago

7 0

Answer:

229

Step-by-step explanation:

1) the difference of the sequence is:

d=7-4=10-7=13-10=3.

2) the common view of the formula of the n term is:

a(n)=a(1)+d*(n-1), where n - required number of the term (it is 76), d- the calculated difference, a(1) - the 1st term of the given sequence.

3) according to the formula above it is possible to substitute n=76, d=3 and 4, then:

a(76)=4+3*(76-1)=4+225=229.

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Multiple choice question?

nydimaria [60]

Answer:

9* 3 ^ (x-2)

Step-by-step explanation:

g(x) = 3^x

We know a^ (b) * a^(c) = a^ (b+c)

9* 3 ^ (x+2) = 3^2 * 3 ^(x+2) = 3^(2+x+2) = 3^x+4 not equal to 3^x

3*(9^(x+2)) = 3*3^2(x+2) = 3^1 * 3^(2x+4) =3^(2x+4+1) = 3^(2x+5) not equal

9* 3 ^ (x-2) = 3^2 * 3 ^(x-2) = 3^(2+x-2) = 3^x equal to 3^x

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6 0

2 years ago

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Round the number to the place of the underlined digit.<br><br> 4.327 (The underlined Digit is 3)

Genrish500 [490]

Answer:4.3

You round to the tenths place

5 0

2 years ago

A car can travel 374 kilometers on 34 liters of gasoline. How far can it travel on 35 liters?

vovangra [49]

Answer:

385 kilometers

Step-by-step explanation:

Divide 374 by 34 to get the unit price

Then multiply the unit price by 35

4 0

2 years ago

What is the value of 128x3/7 as a whole number ?

UNO [17]

Answer:

<u><em>54.86 or 55, rounded to a whole number</em></u>

Step-by-step explanation:

(128*3) = 384

384/7 = 54.86

This is not a whole number

6 0

11 months ago

The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points. A row o

maks197457 [2]

Answer:

1) 20 stars; 30 points.

2) 28 stars, 42 points.

3) 38 stars, 57 points.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let be "x" the numbers of stars Roberto collects and "y" his total points.

The proportional relationship has this form:

$y=kx$

Where "k" is the constant of proportionality.

We can choose the point $(8,12$ ) from the table, where:

$x=8\\y=12$

Substituting these values into $y=kx$ and solving for "k", we get:

$12=k(8)\\\\\frac{12}{8}=k\\\\k=1.5$

Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:

1) For $x=20$ :

$y=(1.5)(20)=30$

2) For $x=28$ :

$y=(1.5)(28)=42$

3) For $x=38$ :

$y=(1.5)(38)=57$

4 0

2 years ago

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