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Vinil7 [7]
3 years ago
6

Ok since no one answered my previous question i don't wanna put to waste so f r ee p oi nts yeah

Mathematics
2 answers:
NeX [460]3 years ago
8 0
Thanjssssssssssssssbjsjdjsje
Zolol [24]3 years ago
6 0

Answer:

yea its jaiashhsjajajsjs

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State whether each sequence is arithmetic and justify your answer. If the sequence is arithmetic, write a recursive and an expli
nasty-shy [4]

Answer:

Part A

f(n)=52-12(n-1)

f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.

Part B

(2,4,8,16,32)\: \: Geometric Sequence

Part C

1/4,3/4,5/4,7/4,9/4

g(n)=\frac{1}{4}+\frac{2}{4}(n-1)\\f(n)=\left\{\begin{matrix}1/4if \: \:n=1 & \\ f(n+1)+2/4& if\: n\geq 2 \end{matrix}\right

Part D:

h(n)=1.1+0.4(n-1)\\h(n)=\left\{\begin{matrix}1.1 & if\:n=1 \\ h(n+1)+0.4 & if\:n\geq 2\end{matrix}\right

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

(52,40, 28, 16)\\52-40=12\\40-28=12\\28-16=12\\d=12

<u>Explicit Formula</u>

To write an explicit formula is to write it as function.

f(n)=52-12(n-1)

<u>Recursive Formula</u>

To write it as recursive formula, is to write it as recurrence given to some restrictions:

f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.

Part B

(2,4,8,16,32)\: \:

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24

Part C

(\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4})\\\

Arithmetic Sequence, difference

d=\frac{2}{4}

<u>Explicit Formula:</u>

g(n)=\frac{1}{4}+\frac{2}{4}(n-1)

<u>Recursive Formula</u>

g(n)=\left\{\begin{matrix}\frac{1}{4} &if\:n=1 \\ g(n+1)+\frac{2}{4} &if\: n\geq 2\end{matrix}\right.

Part D

(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4

<u>Explicit formula</u>

h(n)=1.1+0.4(n-1)\\

<u>Recursive Formula</u>

h(n)=\left\{\begin{matrix}1.1 &if\:n=1 \\ h(n+1)+0.4 &if\: n\geq 2\end{matrix}\right.

6 0
3 years ago
Every _____ tessellates.<br> A. Decagon<br> B. Polygon<br> C. Triangle<br> D. Hexagon
olga2289 [7]
The answer is letter B. Every polygon tesselates. Since the word 'tesselate' here means a pattern of shapes put together without any gaps, then I think every polygon tesselates if they are put side by side together in varying amounts and leave absolutely no gaps or spaces between each other.
8 0
3 years ago
I need help cause i already did this but i got a 67 and thats not good so helppp me
olga_2 [115]
Subtract 10 from both sides
7 0
2 years ago
Read 2 more answers
Bag C is four times lighter than Bag A. Bag B is twice as heavy as Bag C. How much heavier is Bag A than Bag B ?​
LiRa [457]

Answer:

Step-by-step explanation:

Current Weight         Weight after adding Marbles

Giulio:    2x                          2x + 10                    

Jim:         x                             x + 5

You didn't post the options so hopefully you can determine the answer based on the info I provided above.

8 0
2 years ago
7.) x-3&gt;4 please help
givi [52]

Answer:

x>7

Step-by-step explanation:

x-3>4

Add 3 to both sides

x>7

Hope it helped!

6 0
3 years ago
Read 2 more answers
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