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2 years ago

Consider the arithmetic sequence:

Mathematics

2 answers:

tatyana61 [14]2 years ago

7 0

Answer:

d(n)=8+2n for n >1

Step-by-step explanation:

I check on khan

prisoha [69]2 years ago

4 0

Answer:

Answer: D

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

$a_n=a_1+(n-1)r$

Where

an = nth term

a1 = first term

r = common difference

n = number of the term

We are given the arithmetic sequence:

10, 12, 14, 16, ...

Where a1=10 and

r = 12 - 10 = 2

Thus the general term is:

$a_n=10+(n-1)2$

Operating:

$a_n=10+2n-2$

$a_n=8+2n$

Answer: D

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SOLVE THIS EXTREMELY IMPORTANT EQUATION

finlep [7]

Answer:

Option B; EF = ( About ) 4.47 units, Perimeter of Δ EFG = ( About ) 12.94 units

Step-by-step explanation:

If we were to consider the height of this triangle EFG, it would be 4 units of length, supposedly splitting base GF into two ≅ parts, each 2 units of length. First let us name the point drawn to base GF ⇒ point H, so that the height of Δ EFG ⇒ EH. Now as EH splits GF into two ≅ parts, by Converse to Coincidence Theorem, Δ EFG ⇒ Isosceles Δ;

EH and FH are legs of a right triangle EFH, so that Pythagorean Theorem can be applied to solve for the length of EF and EG, knowing that as Δ EFG ⇒ Isosceles Δ, EF ≅ EG;

( EH )^2 + ( FH )^2 = ( EF )^2,

( 4 )^2 + ( 2 )^2 = ( EF )^2 ⇒ take square of 4 & 2,

16 + 4 = ( EF )^2 ⇒ combine like terms,

( EF )^2 = 20 ⇒ take square root on either side to solve for EF,

EF = √ 20 = ( About ) 4.47 units = EG,

Perimeter of Δ EFG = EF + GF + EG = 4.47 + 4 + 4.47 = ( About ) 12.94 units,

Solution; Option B

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3 years ago

Ella already knew 5 appetizer recipes before starting culinary school, and she will learn 2 new

Natalija [7]

A = 2w+5

example: on week three, she would have the recipes from the other weeks that you have to account for as well as the extra five

2(3)+5=11 so A would equal 11 by week three.

Use multiplication because it is essentially repeated addition.

2(from week 1) + 2(from week 2) + 2(from week 3) + 5(prior to school) =11

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2 years ago

Ophelia is making homemade spaghetti sauce by combining 48 oz of tomato paste with 6 cups of water.how many cups of water are ne

kobusy [5.1K]

1 cup per 8 oz

48/6 = 8

every 1 cup of water 8 oz of tomato paste.

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2 years ago

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Simplify square root parenthesis 1 minus cosine theta parenthesis times parenthesis 1 plus cosine theta parenthesis divided by c

MArishka [77]

Answer:

option D is correct.

Step-by-step explanation:

we are given the function $\sqrt{\frac{(1-\cos \theta )(1+\cos \theta )}{\cos ^2\theta }}$

we know that the expansion is given by $(1-\cos \theta )(1+\cos \theta )=1-\cos ^2\theta =\sin ^2\theta$

so $\sqrt{\frac{(1-\cos \theta )(1+\cos \theta )}{\cos ^2\theta }}=\sqrt{\frac{\sin ^2\theta }{\cos ^2\theta }}=\sqrt{\tan ^2\theta }=|\tan \theta |$

Hence, option D is correct.

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2 years ago

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marshall27 [118]

Answer:
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Either:

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2 years ago