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3 years ago

Identify the series 2 + 5 + 8 + 11 + 14 + . . . as arithmetic, geometric or neither.

Mathematics

2 answers:

rusak2 [61]3 years ago

4 0

2, 5, 8, 11, 14 is an arithmetic sequence

$a_1=2;\ d=3;\ a_n=2+(n-1)\cdot3=2+3n-3=3n-1$

nignag [31]3 years ago

3 0

Answer:

Arithmetic Series

Step-by-step explanation:

We are given a series 2 + 5 + 8 + 11 + 14 + . . .

We need to choose which series this one.

For geometric: The common ration is equal.

For arithmetic: The common difference is equal.

Series: 2 + 5 + 8 + 11 + 14 + . . .

Common difference : 5 - 2 = 8 - 5 = 14 - 11 = 3

Here, The common difference is equal.

Hence, The series is arithmetic.

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Which box shows a relationship where the constant of proportionality is 64?

Sever21 [200]

Answer:

Step-by-step explanation:

Constant of proportionality = $\frac{y}{x}$

Let's find out which if the boxes will give us 64 as constant of proportionality.

A. $\frac{y}{x} = \frac{11}{2} = 5.5$ ≠ 64

B. $\frac{y}{x} = \frac{5}{15} = \frac{1}{3}$ ≠ 64

C. $\frac{y}{x} = \frac{16}{\frac{1}{4}} = 16*\frac{4}{1} = 64$ ≠ 64

D. $\frac{y}{x} = \frac{\frac{3}{7}}{3} = \frac{3}{7}*\frac{1}{3} = \frac{1}{7}$ ≠ 64

E. $\frac{y}{x} = \frac{2}{-10} = -\frac{1}{5}$ ≠ 64

F. $\frac{y}{x} = \frac{21}{6} = \frac{7}{2}$ ≠ 64

G. $\frac{y}{x} = \frac{4}{8} = \frac{1}{2}$ ≠ 64

From the boxes given, box C is the only box that shows us a relationship where the constant of proportionality is 64.

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3 years ago

Is 4.5 and 0.25 proportional

jeyben [28]

Answer: no

Step-by-step explanation:

450% and 25% are different.

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3 years ago

A department store sold 34 shirts one day. All short-sleeved shirts cost $11.00 each and all long-sleeved shirts cost $21.00 eac

ANEK [815]

S + l. = 34
11s + 21l= 514

-11s - 11l= -374
11s + 21l = 514

10l = 140

l = 20 long sleeve shirts

s + 20 = 34

s = 14 short sleet shirts

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