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Lyrx [107]
2 years ago
5

- Write a recursive formula to represent the sequence below. (3,7, 11, 15, 19,23,27,31,35, ...)

Mathematics
1 answer:
NemiM [27]2 years ago
8 0

<em><u>The recursive formula to find nth term of sequence is:</u></em>

a_n = 4n - 1 \text{ where } n \geq 1 and n  = 1, 2, 3, ....

<em><u>Solution:</u></em>

Given a sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35

<em><u>Let us find the difference between terms</u></em>

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

23 - 19 = 4

27 - 23 = 4

31 - 27 = 4

35 - 31 = 4

Thus the difference between terms is constant

Thus the given sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>The nth term of arithmetic sequence is given by:</u></em>

a_n =a_1+(n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

Here in the given sequence

d = 4

a_1=3

Substitute in above formula,

a_n = 3 + (n-1)(4)\\\\a_n = 3 + 4n - 4\\\\a_n = 4n - 1

<em><u>Thus the recursive formula to find nth term of sequence is:</u></em>

a_n = 4n - 1 \text{ where } n \geq 1 and n = 1, 2, 3, ......

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Firlakuza [10]

Answer:

240.8

Step-by-step explanation:

→ Calculate time taken

16:43 - 14:56 = 1 hour and 47 minutes

→ Write the speed formula and make distance the subject

Speed = Distance ÷ Time ⇔ Distance = Speed × Time

→ Convert 1 hour and 47 minutes into decimal format

1.78333333 or  1\frac{47}{60}

→ Substitute values into formula

135 ×  1\frac{47}{60}  = 240.75

8 0
3 years ago
Given the following system of equations: −x + y = 2 2x + 4y = 32 What action was completed to create this new equivalent system
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Answer:

you just need to devide by 2 the second equation

Step-by-step explanation:

  • -x + y = 2 (you leave it as it is)

  • 2x + 4y =32 => 2x/2 +4y/2 = 32/2

=> x + 2y =16

we can devide or multiply in an equation by any number we want, as long as we do it to every term.

6 0
3 years ago
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Enzel goes online to buy a graphing calculator. He finds a site that currently has a promotion of 15% off on all orders over $50
Sonbull [250]

Based on the cost of the calculator, the discount, the shipping fee, and the tax, the total cost of the purchase was<u> a. $80.07</u>

The cost of the calculator was:

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= 83 x ( 1 - 15%)

= $70.55

The sales tax would be:

= 70.55 x 4.5%

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The total cost would be:

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2 years ago
Below. What is m∠1?<br><br> m∠1 =
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Answer:

m∠1 = 70

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A line is 180 degrees

The angles of a triangle total to 180 degrees

180 - 101 = 79

79 + 31 = 110

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2 years ago
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