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3 years ago

Which describes the difference between the two sequences?

Mathematics

1 answer:

swat323 years ago

8 0

Answer:

the sequence is geometric sequence with common ratio (-2).

Option : D is correct.

Step-by-step explanation:

In this question table is given as

n 1 2 3 4 5

f(n) 48 -96 192 -385 768

We have to find out if the sequence is arithmetic or geometric.

For Arithmetic sequence :

Difference should be common in each term of fees.

common difference = f(2) - f(1)

= -96 -48 = -144

similarly = f(3) - f (2) = 192 + 96 = 288

Here, ≠ so the sequence is not an arithmetic sequence.

For Geometric sequence :

Ratio should be common in each term of f(n)

Common ratio =

Therefore, the sequence is geometric sequence with common ratio (-2).

Option : D is correct.

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Write as a monomial in standard form (−4x^2ya^3)^2

svetoff [14.1K]

The given monomial in standard form is $16a^6x^4y^2$

Solution:

A Monomial in standard form is the product of one or more factors: a constant coefficient and one factor for each variable in the expression.

Given monomial is:

$(-4x^2ya^3)^2$

We use the following law of exponents to solve the above monomial:

$(ab)^n = a^nb^n\\\\(a^n)^m = a^{mn}$

Using these in given monomial, we get

$(-4x^2ya^3)^2 = (-4)^2(x^2)^2(y)^2(a^3)^2$

Now applying the law of exponent $(a^n)^m = a^{mn}$ we get,

$(-4)^2(x^2)^2(y)^2(a^3)^2 = 16x^{2 \times 2}y^2a^{3 \times 2} = 16x^4y^2a^6$

A monomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc

Writing in standard form we get,

$\rightarrow 16a^6x^4y^2$

Thus the given monomial is written in standard form

7 0

3 years ago

Read 2 more answers

Jacob buys a wool scarf for 30 dollars. Sales tax is 9%. How much does Jacob actually have to pay?

ArbitrLikvidat [17]

Answer:

$32.70

Step-by-step explanation:

9% of 30 is 2.70 so you add it together and get the answer

6 0

3 years ago

Read 2 more answers

Is (-3, 2) a solution of -4r - 10y< - 9?

Blizzard [7]

Answer:

The point (-3,2) is not a solution of the inequality

Step-by-step explanation:

Inequality

Inequalities relate the left and the right side of an expression with an operator other than the equal sign.

The inequality given in the question is

$-4r - 10y< - 9$

There are many combinations of r and y that make inequality be true. For example, for r=1 and y=1

$-4(1) - 10(1)< - 9$

$-14< - 9$

This relation is true since -14 is less than -9.

Also, there are many combinations that make the given inequality be false.

For example, for r=2 and y=-1

$-4(2) - 10(-1)< - 9$

$-8+10$

$2$

This inequality is false.

Let's test the point (-3,2)

$-4(-3) - 10(2)< - 9$

$12-10$

$2$

Which is false, thus the point (-3,2) is not a solution of the inequality

3 0

3 years ago

` 156 weeks = ________ years help

Eddi Din [679]

Answer:

1092/365 or ≈3

Step-by-step explanation:

In one year, there are 365 days, so there are 365/7 weeks in a year. In order to find how many years 156 weeks is, you need to see how many times 365/7 fits into 156, or what 156 ÷ 365/7 is:

156/1 ÷ 365/7 = 156/1 × 7/365 (because a ÷ b/c = a × c/b)

= 1092/365

1092/365 is the most simplified answer because 1092 and 365 don't share factors, but if you convert this fraction to decimal, you get ≈2.99 (rounding to hundredths), so it can be 2.99 or 3 depending on whether you round to the hundredths place or tenths or ones places. I'll just say it's 3 since that's easier.

7 0

2 years ago

Help please it math!!!!

77julia77 [94]

Answer:

I think its B i might be wrong

Step-by-step explanation:

4 0

2 years ago