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vovangra [49]
3 years ago
8

Mark is in training for a bicycle race. He needs to ride 50 kilometers a week as part of his training. He rode 18.23 kilometers

on Monday and 13.94 on Wednesday. How much more does mark need to ride to complete his training for the week
A. 4.29

B. 17.83

C. 31.77

D. 36.06
Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Mark has to ride 50 kilometers. He already rode 18.23 and 13.94.

18.23km+13.94km=32.17km

50km-32.17km=17.83km

Mark will have to ride 17.83km more. The correct answer is B.

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subtract 6n from both sides

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\frac{-4}{4} = n , hence n = - 1


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Jared creates a number sequence that has a first term of 2 and a second of term of 5. Each term after the second is created by s
dexar [7]

The rule for the sequence is S(n) = 2S(n-1) - S(n-2)

Alternative form: S(n) = S(n-1) + 3

Step-by-step explanation:

In this problem, we know the first two terms of the sequence:

S(1) = 2

S(2) = 5

We are told that each term after the second is created by subtracting the term before the previous term from twice the previous term. In other words, if we call:

S(n) the current term

S(n-1) the previous term

S(n-2) the term before the previous term

This statement translates into the following sequence:

S(n) = 2S(n-1) - S(n-2)

Because we are subtracting the term before the previous term, S(n-2), from twice the previous term, 2S(n-1).

We can apply now the rule to find the first few terms of the sequence after S(1) and S(2):

S(3) = 2S(2) - S(1) = 2(5)-2=10-2 = 8

S(4) = 2S(3) - S(2) = 2(8)-5=16-5 = 11

S(5) = 2S(4) - S(3) = 2(11)-8=22-8 = 14

We notice also that each term of the sequence is just equal to the previous term plus 3, so the sequence can also be written as

S(n) = S(n-1) + 3

Learn more about sequences:

brainly.com/question/1522572

brainly.com/question/3280369

#LearnwithBrainly

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3 years ago
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