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Volgvan
3 years ago
6

First five term for An=n^2-2n

Mathematics
1 answer:
densk [106]3 years ago
6 0

First 5 terms are: -1,0,3,8,15

Step-by-step explanation:

we will put n=1,2,3,4,5 to find first 5 terms of the sequence

Explicit formula for sequence is:

a_n = n^2-2n

Putting n=1

a_1 = (1)^2-2(1)\\= 1-2\\= -1

Putting n=2

a_2 = (2)^2-2(2)\\= 4 - 4 \\=0

Putting n=3

a_3 = (3)^2-2(3)\\= 9-6\\= 3

Putting n=4

a_4 = (4)^2 - 2(4)\\= 16-8 \\= 8

Putting n=5

a_5 = (5)^2-2(5)\\= 25 - 10\\= 15

Hence,

First 5 terms are: -1,0,3,8,15

Keywords: Arithmetic sequence, Common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/1349456
  • brainly.com/question/1332667

#LearnwithBrainly

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Step-by-step explanation:

3 - 5 = -2

Place the dot on -2 on the number line that is on your problem as the answer. To show the steps on the number line, use your jumps to go back. For example, your starting point will be on 3, and then use your jumps to go back by 5; that means you go into the negatives. For this case, it is -2.

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4 years ago
Please help me ASAP!!
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3 years ago
Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same
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Answer:

so rate is 4.72 %

Step-by-step explanation:

Given data

time (t) = 5 year  = 5×4 = 20 quarterly

amount = $27456

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to find out

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solution

we use here amount formula that is

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put all value principal , amount and time in equation 1 and we get rate

rate is r/4 because it is quarterly payment

amount = principal ((1+r/4)^{t} -1 ) / r/4

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((1+r/4)^{20} -1 ) / r/4  = 27456/ 1225

((1+r)^{20} -1 ) / r  = 27456/ (1225 × 4)

((1+r)^{20} -1 ) = r 27456/ (1225 × 4)

now by the tvm solver and amount  $27456

graph value

we get r = 0.0472

so rate is 4.72 %

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3 years ago
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2 years ago
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