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Crank
2 years ago
9

Which recursive formula can be used to represent the sequence 2,6,10,14,18...?

Mathematics
1 answer:
12345 [234]2 years ago
8 0

Answer:

a(1) = 2

a(n) = a(n-1)+4

Step-by-step explanation:

Using the given arithmetic sequence,

a1 is 2

a2 is 6

a3 is 10

a4 is 14

a5 is 18

and to get from a1 to a2 you have to +4, to get from a2 to a3 you have to +4 and so on.

In a reclusive formula you need to find two pieces of information:

1. The first term of the sequence

2. The pattern rule to get any term from the term that comes before it

Using the given sequence, the first term is 2 and the rule to get any term from its previous term is +4.

So, putting that information in the form of a recursive formula will read as the following:

an+1 = an+4

a1 = 2, n is greater or equal to 1 (n is an interger)

Which can be rearranged to

a(1) = 2

a(n) = a(n-1)+4

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5220

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3. 29x50 is 1450

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3 years ago
Cara and Glen share a 24-ounce box of cereal. By the end of the week, Cara has eaten 3/8 of the box, and Glen has eaten 1/4 of t
svetoff [14.1K]

Answer:

9 ounces

Step-by-step explanation:

Let x be the ounces left in the box.

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Total ounces in box = 24

Cara has eaten 3/8 of the box,

So, Cara eaten = \frac{3}{8}\times 24

Cara eaten = \frac{3\times 24}{8}

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So, Cara has eaten 9 ounce of the box of cereal.

Glen has eaten 1/4 of the box of cereal.

So, Glan eaten = \frac{1}{4}\times 24

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So, Glan has eaten 6 ounce of the box of cereal.

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