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amm1812
3 years ago
5

Write down an expression for the nth term of the following sequence 5, 11, 17, 23, ...

Mathematics
2 answers:
AysviL [449]3 years ago
8 0

Answer:

a_{n} = 6n - 1

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence

d = 11 - 5 = 17 - 11 = 23 - 17 = 6

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 6 , then

a_{n} = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1

Scorpion4ik [409]3 years ago
4 0
6n-1
Because:
6n= 6,12,18,24
6n-1=6x1-1=5,6x2-1=11,6x3-1=17 and 6x4-1=23
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Please help!!! I don't get this!!! 100 POINTS!!!!
Irina18 [472]

Recognizing that the dotted line is sin(x) and solid line is cos(x), it's clear to see that the sin(x) has a larger amplitude than cos(x). So, we get a1 > a2.


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Therefore, B would be the correct choice.

5 0
4 years ago
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8x - 2<br> f(x) = 3x3 + 4x2<br> g(x) = 3x - 5<br> Find (f – g)(30)
inysia [295]

Answer

P= 2L+2W

P=2(12) +2(7) =38

Step-by-step explanation:

The width of a rectangle is 5 meters less than its length. The area is 84 square meters. Find the dimensions of the rectangle and the perimeter of the rectangle.

First it helps to draw a picture so draw a rectangle

Remember that area of a rectangle =Length times width and the perimeter is P= 2 times the length plus 2 times the width

So A=LW and P=2L+2W

84= area

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W= length -5

L(L-5)=84 distribute the L and you have L2 -5L=84 now subtract 84 from both sides and get L2 �5L-84 next factor to get (L+7)(L-12) next set both to =0 (L+7)=0 (L+12)=0 solve for L

L=-7 and L=12 you can�t have a negative length so -7 is out. So L=12 now plug in to the original area equation

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L=12 and W= 7

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8 0
3 years ago
The ratio of the corresponding edge lengths of two similar solids is 2:5. What is the ratio of their surface areas?
Reptile [31]
4: 25

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Sveta_85 [38]

We can simplify the inequality to:

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<h3>Which is the graph of the given inequality?</h3>

Here we have the inequality:

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If we isolate y, we get:

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brainly.com/question/18881247

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