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WINSTONCH [101]
3 years ago
12

Find the 22nd term of the sequence described by the explicit formula: f(n) = 8 + 3(n - 1)

Mathematics
1 answer:
kari74 [83]3 years ago
5 0
<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}

<h3><u>Step-by-step explanation:</u></h3>

Given that the nth term of the Arthemetic Sequence is given by :-

\implies f(n) = 8 + 3(n-1)

And we need to find the 22nd term .

So in place of n substitute 22 .

\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_{22} = 8 + 3(22-1) \\\\\bf\implies f_{22} = 8 + 3\times 21 \\\\\bf\implies f_{22} = 8 + 63 \\\\\bf\boxed{\bf\implies f_{22} = 71 }

<h3><u>Hence </u><u>the</u><u> </u><u>2</u><u>2</u><u>n</u><u>d</u><u> </u><u>term</u><u> </u><u>is</u><u> </u><u>7</u><u>1</u><u> </u><u>.</u></h3>
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Answer:

All 4 of them

Step-by-step explanation:

Tell me if I'm wrong

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For the equation -2(x+1) = 8, Caitlin distributes the 2 to get, -2x +2 = 8. Then she subtracts the 2 from both sides to get -2x
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Answer:

No.

Step-by-step explanation:

She wronged in Step 2, -2x + 2 = 8 .

The correct way is :

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W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?
juin [17]

\large{ \tt{❃ \: EXPLANATION}} :

  • You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

  • We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

\large{ \tt{❁ \: LET'S \: START }: }

  • Set up an equation & solve for p :

\large{ \bf{☄ \: p  - 30 =  \frac{1}{2}  p }}

\large{ \tt{↦ \frac{1}{2} p = p - 30}}

\large{ \tt{↦ \frac{1}{2} p - p =  - 30}}

\large{ \tt{↦ \frac{p - 2p}{2} =  - 30 }}

\large{ \tt{↦p - 2p =  - 60}}

\large{ \tt{ ↦ \: - p =  - 60}}

\large{ \tt{↦p = 60}}

  • The value of p is 60

\large{ \tt{❇ \: REPLACING \: VALUE}} :

\large{ \tt{↬ \: wz = p - 30 =  60 - 30 =   \boxed{\boxed{ \tt{30 }} }✔}}

  • Hence , WZ = 30 .

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7 0
3 years ago
Assume you have 3,000 songs downloaded to your mobile phone. Of these songs, 50 songs are by your favorite artist. If you play t
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Answer:

2950

Step-by-step explanation:

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Carol ate 2/5 of the cake; Dima ate 3/8 of the remaining cake, mom ate the rest.
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