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balandron [24]
3 years ago
12

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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To show what he learned about the properties of volume for solids, liquids and gases, Viktor wrote the following summary.
Brrunno [24]

The wrong statement in Viktor's summary is When a round solid ball is placed in a box, the ball takes the shape of the box

The matter has three main states which are

  • Solid
  • Liquid
  • Gas

These states define the way we interact and manipulate materials. For instance:

  • Liquids take the shape of the container that contains them. For example water, milk, soda, among others.
  • Solids have a defined shape and do not deform when manipulated or placed inside another container. For example, a round solid ball.
  • Gases generally do not have colors and their atoms are not organized so they do not have a definite shape and take the shape of their container. For example, the air in a balloon.

According to the above, the error in Viktor's summary is in the first phase, and the correct statement is A. because solids does not take the shape of its container.

Learn more in:

7 0
3 years ago
Luke shaded 20 squares on his hundredths grid. Bekka shaded 30 squares on her hundredths grid. Write two decimals greater than L
Rus_ich [418]
Luke's original decimal is 0.20 and Bekka's is 0.30 so 0.40 and 0.50 would be greater than Luke's original and 0.20 and 0.10 are lesser than Bekka's original decimal
5 0
3 years ago
Read 2 more answers
Which of the following ordered pairs is a solution of the equation y = -4x². Can someone help me solve it. Could you guys also e
RUDIKE [14]

Answer:

graph{3x [-10, 10, -5, 5]}

Explanation:

this function is in the form of

y

=

m

x

+

q

with

m

=

3

,

q

=

0

so it's an straight line: ascending [

m

>

0

], that touch the

y

axis in the point

(

0

,

0

)

[

q

=

0

]

4 0
3 years ago
1. Solve triangle ABC if A = 42.3º, b = 12.9 meters, and c = 15.4 meters.
kumpel [21]

Answer:

a = 10.36m

B = 47.7º

C = 90º

Step-by-step explanation:

we know the angle of A so we do the sin of A; Spoiler: its 0.67

0.67 = a / 15.4

0.67 * 15.4 = a

a = 10.36

----------

B = 90 - 42.3 = 47.7º

6 0
3 years ago
I'd greatly appreciate the help-
dem82 [27]

Answer:

The 3rd option

Step-by-step explanation:

To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.

This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent

We know that m<D=m<E

We also know that m<DCA=m<ECB because they are vertical angles.

Vertical angles are always congruent.

Therefore, the triangles are similar.

The correct similarity statement would be 1, since <D corresponds with <E.

Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.

A pair of alternate interior angles would be <D and B or or <E  and <A

There is no way to prove this, since we do not know any of the angle  or that measurements or if the triangles are isosceles triangles.

Hence, the correct choice would be 1 only.

7 0
3 years ago
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