MATHEMATICS HIGH SCHOOL

Write a recursive formula for the sequence 7, 13, 19, 25, 31 then find the next term in the sequence?

Answers

Answer 1

Answer:

Answer:

The recursive formula is

$f(1)=7$

$f(n)=f(n-1)+6$

and the next term is in the sequence is 37.

Step-by-step explanation:

We first have to find a pattern in the numbers we are given. We notice that each number is 6 greater than the previous; for example 13 is 7+6, 19 is 13+6 and so on. Mathematically we write this as

$f(n)= f(n-1)+7$

Where $f(n)$ is the value of nth term of the sequence.

The sequence starts at 7, therefore the first term in the sequence is:

$f(1)=7$

Now the next term (it will be 6th term) of the sequence will be 6 greater than the previous term, and since the previous term is 31, we have:

$f(6)=f(5)+6=31+6=37.$ .

Thus the next term in the sequence is 37, and the recursive formula is

$f(1)=7$

$f(n)=f(n-1)+6.$

Answer 2

Answer:

Answer:

recursive formula: $a_n=a_(n-1)+6$

next term in the sequence: $a_1=7;37$

hope this helps! :)

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What is the value of h when the function is converted to vertex form?
g(x) = x^2 – 6x + 14

Answers

Hello,

g(x)=x²-6x+14=x²-2*3x+9+14-9=(x-3)²+5
h=3, k=5

If the mean of positively skewed distribution is 126 which of these values could be the median of the distribution ? A. 126
B. 122
C. 130
D. 134

Answers

i think its 122 not 100% tho I'll check for you

Answer:122

Step-by-step explanation:just took it

A runner has a track lap of one minute while at a run, five minutes while at a jog, 7 minutes while at a walk. If 2/5 of the lap is paced at a run, 1/2 at a jog and 1/10 at a walk what is the total track lap time of the runner. Write the solution as a mixed number or a fraction in lowest terms

Answers

24 seconds running
2 minutes 30 seconds jogging
42 seconds walking
3 minutes 36 seconds in that lap

Final answer:

The total track lap time of the runner is 2 2/5 minutes or 2.4 minutes.

Explanation:

The total track lap time of the runner can be calculated by summing up the individual time spent at each pace (run, jog, walk). Each pace's time is first multiplied by the fraction of the lap completed at that pace.

For the run, the calculation is 2/5 of 1 minute which is 2/5 minute.

For the jog, the calculation is 1/2 of 5 minutes which is 5/2 = 2 1/2 minutes or 2.5 minutes in decimal form.

For the walk, the calculation is 1/10 of 7 minutes which is 7/10 = 0.7 minutes.

Adding these times together gives a total of (2/5) + (5/2) + (7/10) = 12/5 = 2 2/5 minutes or 2.4 minutes in decimal form.

Learn more about Total Track Lap Time Calculation here:

brainly.com/question/32029408

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How to change 50/12 to a mixed number?

Answers

A mixed number is one that has an integer along with a proper fraction, so that would be (for this improper fraction):

50/12 = 4 1/6

12 goes into 50, 4 times with a remainder of 2

you get: 4 and 2/12, but 2/12 can be reduced further to 1/6

so that's how i got the answer of 4 1/6

A number increased by 8 gives the same result as a number multiplied by 8. whay is that number?