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lara [203]
4 years ago
10

For the sequence 3, 8, 13, 18, 23, ….: (i) Find recursive and non-recursive formulas. (ii) Prove the non-recursive formula using

recursive formula and by induction. (iii) Write and iterative algorithm to out put the first m terms.
Mathematics
1 answer:
Aleksandr-060686 [28]4 years ago
7 0

Answer:

Step-by-step explanation:

Given is the sequence 3, 8, 13, 18, 23, ….:

We find that this is a geometric sequence with each term added with 5 to the previous term

Hence recursive formula is a_n =a_{n-1} +5

Non recursive formula:

a_n =a_{n-1} +5=a_{n-2} +2(5)\\=a_{n-3} +3(5)-...\\=a_{n-(n-1)} +5(n-1)\\=a_1+(n-1)5\\=3+5n-5\\=5n-2

iii) Start with 3.

Add 5 and write as 2nd term

Take the resulting term and add 5 and mark as 3rd term

Repeat this m times.

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olga55 [171]

Answer:

x = 6

Step-by-step explanation:

You add 18 to both sides so that the equation turns into 12x = 4x + 48

Then you subtract 4x from both sides so that the equation becomes 8x = 48

Then you divide both sides by 8 and get x = 6

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3 years ago
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Answer:

If your question is -2 - 4 - 2 - 2.1 then the answer is -10.1

Step-by-step explanation:

-2 - 4 - 2 - 2.1

= (-2 - 4 ) - 2 - 2.1                Combine -2 with -4 or subtract them

=  -6 - 2 - 2.1                        

= (-6 - 2 )- 2.1                       Combine -6 and -2

= -8 -2.1                                Combine -8 and -2.1

= -10.1

<h3><u><em>Please rate this and please give brainliest. Thanks!!! </em></u></h3><h3><u><em>Appreciate it! : ) </em></u></h3><h3><u><em>And always, </em></u></h3><h3><u><em>SIMPLIFY BANANAS          : )</em></u></h3>
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4 years ago
Choice A: 3 nights and one meal for $ 250
Simora [160]
Let x be the price for each night and y be the price for each meal. Then, express the statements into mathematical equations:

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Choice B: 3x + 6y = 330

Subtract both equations, the difference would be -5y = -80

-5y = -80
y = -80/-5
y = $16 per meal

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3 years ago
What is the solution to the inequality 4(2x + 2) + 12 7 100?
soldi70 [24.7K]

Answer:

x>10

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4(2x + 2) + 12 > 100

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4(2x + 2) > 88

Divide by 4

4/4(2x + 2) > 88/4

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Subtract 2

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Divide by 2

2x/2 >20/2

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7 0
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Answer:

the first one A the sum of the angles are 10x+10 For the second one B the sum wud be 8x+20

Step-by-step explanation:

you juts add them all together


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