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3 years ago

The first five terms of a sequence are 7, 10, 13, 16, and 19.

Mathematics

1 answer:

lbvjy [14]3 years ago

4 0

Answer:

Option B is correct

For , the function for the given sequence is defined as;

Step-by-step explanation:

An arithmetic sequence is a sequence in which the difference between each consecutive term is constant.

An explicit formula for this arithmetic sequence given by;

where a represents first term

Since, the given sequences; 7 , 10 , 13 , 16 and 19

⇒ common difference(d) = 3 and a = 7

Since.

10 -7 = 3

13- 10 = 3 ....

The function which defined this sequence is;

using distributive property:

therefore, the function for the given sequence for all integers is;

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When it comes to reducing that’s where I start having trouble for example 10/13x1/15= 10/65 but 10/65 not in lowest terms so I h

arlik [135]

Answer:

Step-by-step explanation:

Let's use your example as a starting point. Determine whether the same number will divide each 10 and 65 evenly. In this case, the answer is yes, and the number is 5. 10/5 = 2, and 65/5 = 13. Thus, the fraction in lowest terms is 2/13.

6 0

3 years ago

A store owner buys a case of 144 pens for $28.80. He sells the pens for $0.40 each. The owner claims that they marked the pens u

stellarik [79]

Answer: $0.3

Step-by-step explanation:

Given

The owner buys 144 pens for $28.80 i.e. each pen costs

$\dfrac{28.80}{144}=\$0.2$

owner sells the pen at $0.4 i.e. price marked up by

$\Rightarrow \dfrac{0.4-0.2}{0.2}\times 100=100\%$

So, the claim of the owner is incorrect

The actual increase in the price to get 50% markup

$\Rightarrow 0.2\times (1+0.5)=\$0.3$

6 0

3 years ago

Which of the expressions below can be factored using the difference of squares method?

zlopas [31]

Answer:

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

Step-by-step explanation:

The Difference of Squares Method for Factoring

The expression:

$a^2-b^2=(a-b)(a+b)$

Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.

The last two choices are not valid because they are not a subtraction but an addition.

The first choice is not valid because none of the terms is a perfect square.

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

4 0

3 years ago

on comparing the ratios a1/a2 b1/b2 and c1/c2 find out whether the pair of linear equations 2x -3y=8 and 4x-6y =9 are consistent

andre [41]

Answer:

The given linear equation are

⇒9x+3y+12=0....eq1

⇒a1 =9,b1 =3,c1 =12

⇒18x+6y+24...eq2

⇒a2 =18,b2 =6,c2 =24

⇒a1/a2 =9/18 =1/2

⇒ b1/b2= 3/6 = 1/2

⇒ c1/c2= 12/24= 1/2

comparing

⇒ a1/a2,b1/b2,c1/c2

⇒ a1/a2=b1/b2=c1/c2

Hence, the line represented by eq1 and eq2 are coincidents

Step-by-step explanation:

6 0

3 years ago

Explain how you can use base-ten blocks or as a decimal models to find 3.15 divided by 3. Include pictures to support your expla

blondinia [14]

With base-ten blocks ,there would be the 3 units, 1 tens block , and five hundreds cubes

3 0

3 years ago