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Sav [38]
3 years ago
7

Construct a recursive rule to describe the sequence: 2, 4, 6, 8,...

Mathematics
1 answer:
kap26 [50]3 years ago
3 0

Answer:

  a[1] = 2; a[n] = a[n-1] + 2

Step-by-step explanation:

The first term of the sequence is 2, so the first part of the definition is ...

  a[1] = 2

Each term is 2 more than the previous one, so the rest of the definition is ...

  a[n] = a[n-1] + 2

_____

<em>Comment on recursive rules</em>

A recursive rule has two parts. The first part tells what the initial value of the sequence is. The second part relates the next term to the previous term or terms.

For arithmetic and geometric sequences, each term is related to the previous term by a constant. For an arithmetic sequence, each term is the last term plus the common difference. For a geometric sequence, each term is the last term multiplied by the common ratio.

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Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00.
nataly862011 [7]
That would be D. The first two would be fight (I think) except they don't include turning the calculator on. C is just plain wrong. D has all the right keystrokes.
8 0
4 years ago
A basketball court is a rectangle. If a court measures 60 feet by 40 feet, what is the length of the diagonal from one corner of
alexdok [17]
Pythagorean theorem: a²+b²=c²
Where c = length of the hypotenuse (diagonal of a triangle)

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3 0
3 years ago
I suck at math so help me please:)
Evgen [1.6K]
Since they’re vertical we know that they’re congruent. We write the equation as 160=10x+50. Subtract 50 to both sides then we get 110=10x so now we divide 10 to both sides and get 11=x.
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7 0
3 years ago
Use the FOIL method to find the product below. (x + 3)(x2 – 6x)
Phoenix [80]
(x + 3) • (2x - 6x)
collect like terms
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Hope this helps!
6 0
4 years ago
Courtney would like to buy a new ca in 4 years. It is estimated that a new car will cost her 25,000 and that she will get 13,000
KiRa [710]

4 years=48 months

A new car costs 25,000, but she will get 13,000 for her used car as long as she takes good car of it. If she takes good care of her used car and gets 13,000 for it, she will only need to save 12,000 total. We can divide 12,000 by 48 to find out how much Courtney should save minimum each month to afford her new car. 12,000/48=250

You can check to see if this is correct by multiplying 48*250=12,000. Paying 250 for each month of the 48 months will equal the $12,000 that Courtney needs.

Courtney needs to save at least $250 per month to afford her new car in 4 years.

I hope this helps :)

3 0
4 years ago
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