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zimovet [89]
3 years ago
9

Write the recursive formula then determine the next term of 3,10,24,52

Mathematics
1 answer:
Schach [20]3 years ago
7 0

Answer:

  • f[1] = 3
  • f[n] = 2·f[n-1] +4
  • 108

Step-by-step explanation:

We observe that first differences of the given numbers are ...

  10 -3 = 7

  24 -10 = 14

  52 -24 = 28

That is, each difference is 2× the previous one. This suggests an exponential relation that has a base of 2.

We notice that doubling a term doesn't give the next term, but gives a value that is 4 less than the next term. So, we can get the next term by doubling the previous one and adding 4.

Then our recursive relation is ...

  f[1] = 3 . . . . the first term

  f[n] = 2×f[n-1] +4 . . . . double the previous term and add 4

The next term is 2·52 +4 = 108.

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The data below represents the number of minutes Jake and Sarah spent doing chores
hichkok12 [17]
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The median number of minutes for Jake and Sarah are equal, but the mean numbers are different.

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For this, you never said the choices, but I’ve done this before, so I’m going to use the answer choices I had, and hopefully they are right.

Our choices are -

• The median number of minutes for Jake is higher than the median number of minutes for Sarah.

• The mean number of minutes for Sarah is higher than the mean number of minutes for Jake.

• The mean number of minutes for Jake and Sarah are equal, but the median number of minutes are different.

• The median number of minutes for Jake and Sarah are equal, but the mean number of minutes are different.

————————

So to answer the question, we neee to find the median and mean for each data set, so -

Jack = [90 median] [89.6 mean]
Sarah = [90 median] [89.5 mean]

We can clearly see the median for both is 90, so we can eliminate all the choices that say they are unequal.

We can also see that Jack has a higher mean (89.6) compared to Sarah (89.5).

We can eliminate all the choices that don’t imply that too.

That leaves us with -

• The median number of minutes for Jake and Sarah are equal, but the mean number of minutes are different.
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2 years ago
Write and equation to find the nth term of each sequence. Then find a24 <br> -4,-9,-14,-19
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2 years ago
Which number shows 6,312 rounded to the nearest ten?<br><br> 6,300<br> 6,310<br> 6,320<br> 6,330
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1 is in the tens place

we look at 2

2 <5 so we leave it alone

6,310

Choice B

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3 years ago
Read 2 more answers
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