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kirill [66]
3 years ago
8

What is the nth term rule of the linear sequence below? -4,-1,2,5,8,...

Mathematics
1 answer:
storchak [24]3 years ago
6 0

Answer:

The nth term of the given sequence  tₙ = 3 n - 7

Step-by-step explanation:

Given sequence   - 4 , -1 , 2 , 5, 8 , .....

First term a = -4

The difference of two terms of a given sequence

d = -1 - (-4) = -1 +4 = 3

d = 2 - (-1) = 2 +1 = 3

d = 5 -2 = 3

d = 8 - 5 =3

The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

     The nth term of given sequence

   t _{n} = a + ( n-1 ) d

  = -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7

<u><em>Final answer:</em></u>-

The nth term of the given sequence  tₙ = 3 n - 7

         

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3 years ago
Beth and joe won first place at the local talent show and shared the 50$ price equally they also gave some money to their friend
swat32
If they each kept the same amount of the $50 prize, then we divide $50 by 2 people, giving each of them $25 winnings.  Your question is then a little confusing because it could be answered in two ways.  Did they each keep $20.75 out of their $25 winnings, or did the two of them keep $20.75 in a combined total?  Please read your question again to see which might be the case.  I'm answering on the assumption that they each kept $20.75.


STEP 1:
divide total prize money by 2

= $50 ÷ 2
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STEP 2:
If they each kept $20.75

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Hope this helps!  :)
8 0
3 years ago
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4 0
3 years ago
The equation to model Exponential Growth is:
abruzzese [7]

Your salary in x years is modeled an the exponential growth

The equation that determines your salary in x years is y = 45000(1.05)^x

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From the question, we have:

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Hence, the equation that determines your salary in x years is y = 45000(1.05)^x

Read more about exponential functions at:

brainly.com/question/11464095

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Marta_Voda [28]
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