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luda_lava [24]
3 years ago
13

Cker

Mathematics
1 answer:
Alenkinab [10]3 years ago
7 0
Option a) is the right answer
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Match each function to its corresponding sequence.
givi [52]

The sequence and their functions are:

  • f(n) = f(n - 1) + 7 ⇒ 3, 10, 17, 24, 31.....
  • f(n) = f(n - 1) + 4n - 2 ⇒ 3, 9, 19, 33, 51.....
  • f(n) = 2[f(n - 1)] ⇒ 3, 6, 12, 24, 48.....

<h3>How to match the functions?</h3>

To do this, we simply set values for n and calculate the function values using the current value of n.

So, we have:

<u>Function 1: f(n) = f(n - 1) + 6n - 5 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 6(2) - 5 = 3 + 12 - 5 = 10

Let n = 3

f(3) = f(2) + 6(3) - 5 = 10 + 18 - 5 = 23

None of the sequence follows the pattern 3, 10, 23....

<u>Function 2: f(n) = f(n - 1) + 2n - 1 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 2(2) - 1 = 3 + 4 - 1 = 6

Let n = 3

f(3) = f(2) + 2(3) - 1 = 6 + 6 - 1 = 11

None of the sequence follows the pattern 3, 6, 11....

<u>Function 3: f(n) = f(n - 1) + 6 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 6 = 3 + 6 = 9

Let n = 3

f(3) = f(2) + 6 = 9 + 6 = 15

None of the sequence follows the pattern 3, 9, 15....

<u>Function 4: f(n) = f(n - 1) + 7 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 7 = 3 + 7 = 10

Let n = 3, 4 and 5

f(3) = f(2) + 7 = 10 + 7 = 17

f(4) = f(3) + 7 = 17 + 7 = 24

f(5) = f(4) + 7 = 24 + 7 = 31

So, we have:

f(n) = f(n - 1) + 7 ⇒ 3, 10, 17, 24, 31.....

<u>Function 5: f(n) = f(n - 1) + 4n - 2 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 4(2) - 2 = 3 + 8 - 2 = 9

Let n = 3, 4 and 5

f(3) = f(2) + 4(3) - 2 = 9 + 12 - 2 = 19

f(4) = f(3) + 4(4) - 2 = 19 + 16 - 2 = 33

f(5) = f(4) + 4(5) - 2 = 33 + 20 - 2 = 51

So, we have:

f(n) = f(n - 1) + 4n - 2 ⇒ 3, 9, 19, 33, 51.....

<u>Function 6: f(n) = 2[f(n - 1)] where f(1) = 3</u>

Let n = 2

f(2) = 2 * f(1) = 2 * 3 = 6

Let n = 3, 4 and 5

f(3) = 2 * f(2) = 2 * 6 = 12

f(4) = 2 * f(3) = 2 * 12 = 24

f(5) = 2 * f(4) = 2 * 24 = 48

So, we have:

f(n) = 2[f(n - 1)] ⇒ 3, 6, 12, 24, 48.....

Read more about sequence at:

brainly.com/question/6561461

#SPJ1

7 0
2 years ago
Find the square. (3m + 3)2
olya-2409 [2.1K]

Answer:

9m^2 + 18m + 9

Step-by-step explanation:

(3m + 3)2

Square ;

(a + b)^2 = a2 + b2  + 2ab

(3m + 3)2

= (3m)^2 + (3)^2 + 2 (3m)(3)

= 9m^2 + 9 + 18m

= 9m^2 + 18m + 9

5 0
2 years ago
How much more would $5,218.10 earn in 6 years, compounded daily at 3.8%, when compared to the interest on $5,218.10 over 6 years
Maslowich

Answer:Sorry, but I don't know ;(

Step-by-step explanation:

4 0
2 years ago
Lolll I need help again! URGENT!!!!
Mars2501 [29]

Every time you get 6 times out of 8 you times it like 12 16,18 24

8 0
3 years ago
Use synthetic division to divide (x^ 3 + x^ 2 – 40x – 4) ÷ (x – 6)
Marina CMI [18]
The answer is C.

Hope this helps!!

7 0
2 years ago
Read 2 more answers
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