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3 years ago

Determine if the sequence below is arithmetic or geometric and determine the

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

geometric, with a common ratio of 1/2

Step-by-step explanation:

The sequence is geometric because you get successive trems by multiplying the previous term by a certain constant, the 'common ratio'. (If you got each successive term by adding or subtracting the same constant number each time, that would be an arithmetic sequence.)

In this case, it looks like you get each successive term when you multiply the previous term by 1/2.

Thus, the common ratio is 1/2.

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The following expression is written by some students: A+B=C. if ''A'' is always twice the value of ''B''. what is the value of '

ANEK [815]

Answer:

c=3

Step-by-step explanation:

a+b=c

a is double the value of b, so if a is 2, then b is 1.

2+1=3

hope this helps!

please mark me brainliest. thanks!

6 0

2 years ago

. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it

Alex Ar [27]

Answer:

It will take him

$\frac{1}{2}$

of a minute to fill the bottle.

Step-by-step explanation:

I'm really not sure this is right but..

we can solve using proportions. Cross-multiply and divide.

$\frac{ \frac{1}{3} of \: a \: water \: bottle}{\frac{1}{6} minute} \: = \frac{ \frac{3}{3} of \: a \: water \: bottle}{x} \\ \\ \frac{ \frac{1}{6} }{ \frac{1}{3} } = \frac{ \frac{1}{3} x}{ \frac{1}{3} } \\ \\ \frac{1}{2} = x$

5 0

2 years ago

Okay so I'm working on solving equations <img src="https://tex.z-dn.net/?f=%20-%2015x%20%2B%205%20%3D%20%20-%2010x%20%2B%2025

Ksenya-84 [330]

Answer:

x = -4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-15x + 5 = -10x + 25

Step 2: Solve for x

Add 15x on both sides: 5 = 5x + 25
Subtract 25 on both sides: -20 = 5x
Divide 5 on both sides: -4 = x
Rewrite: x = -4

8 0

2 years ago

Let x represent the amount of frozen yogurt (in hundreds of gallons) sold by the G&T restaurant on any day during the summer

musickatia [10]

Answer:

a) The probability of selling less than 100 gallons (x≤1) is P=0.16.

b) The mean number of gallons is M=80 gallons.

Step-by-step explanation:

The probability of selling x, in hundred of gallons, on any day during the summer is y(x)=0.32x, in a range for x from [0;2.5].

The probability of selling less than 100 gallons (x≤1) is then:

$P(x\leq1)=\int_0^{100}0.32x\cdot dx\\\\P(x\leq1)=0.16(x_b^2-x_a^2)\\\\P(x\leq1)=0.16(1^2-0^2)=0.16$

The mean number of gallons can be calculated as:

$M=\int_0^{2.5}(y(x)/x)\cdot dx=\int_0^{2.5}(0.32)\cdot dx\\\\M=0.32(x_b-x_a)=0.32(2.5-0)=0.32*2.5=0.8$

3 0

2 years ago

The 6th term of a gp is -2/29,and it's first term is 18.what is the common ratio

Ymorist [56]

Answer:

-0.329

Step-by-step explanation:

The formula for Geometric ratio is

an = ar^n - 1

Where

a = First term = 18

r = Common ratio = ?

n = Number of term= 6

Hence

a6 = 18 × r^6-1

From the question

a6 = -2/29

Hence:

-2/29 = 18 × r^6-1

-2/29 = 18 × r⁵

Divide both sides by 18

-2/29 ÷ 18 = 18 × r⁵/18

-2/29 × 1/18 = r⁵

r⁵ = -1/261

Take the fifth root of both sides

⁵√(r⁵) = ⁵√(-1/261)

r = -0.3286032834

Approximately = -0.329

Therefore, Common ratio = -0.329

7 0

2 years ago