1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexira [117]
1 year ago
9

Homework Progress 0 Find the nth term of the following sequence: 4 7 12 19 28

Mathematics
1 answer:
just olya [345]1 year ago
5 0

<em>Answer:</em>

n²+3

<em>Explanation:</em>

The differences between the terms are not the same, so this is not "linear". Knowing that the sequence may have started with a 1, you can try subtracting the first number with a number to get 1, and use that number to subtract the rest.

4 - 3 = 1
7 - 3 = 4
12 - 3 = 9
19 - 3 = 16
28 - 3 = 25

In this case, subtracting 3 to all the numbers gave us perfect squares! So this means the nth term has to do with squaring the number and adding three afterward! This can be checked.

√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5

As we found the values of these terms by subtracting three first and then finding its square root, the nth term will be the opposite; squaring and then adding three! Again, this can be checked!

1² + 3 = 4
2² + 3 = 7
3² + 3 = 12
4² + 3 = 19
5² + 3 = 28

Hope this helps !! :D

You might be interested in
60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys
stepladder [879]
First youll want to add 18 and 29. which gives you 43. then you’ll want to find out how much is 29 people percentage wise. so you’ll do 29/43 which gives you 67.44% if it’s answer choices. you round it to the most whole number if they don’t use decimals.
4 0
3 years ago
What is the scale factor from ABC to DEF?​
ollegr [7]

Answer:

C

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, so

scale factor = \frac{EF}{BC} = \frac{11}{66} = \frac{1}{6} → C

8 0
3 years ago
Leigh has a piece of rope that is 6 2/3 feet long. How do you write 6 2/3 as a fraction greater than 1
aleksley [76]
20/3 - Take the 6 2/3, multiply the 6 and the 3 (6 x 3 = 18), then add the 2 (18 + 2 = 20). Put that number over the original 3 and you've got yourself a mixed number.
4 0
3 years ago
Read 2 more answers
. how many 1/2s are in 3​
sweet [91]

Answer:

6

Step-by-step explanation:

6 0
3 years ago
What is the slope of (1,-3) and (-5,-4)
egoroff_w [7]

Answer:

slope is 1/6

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • In scientific notation, the number 39,940,000,000 becomes A. 3.994 × 1010. B. 3.994 × 10–10. C. 39.94 × 109. D. 3994 × 107.
    13·2 answers
  • Caroline, Krutika and Natasha share some sweets in the ratio 3:1:3. Caroline gets 36 sweets. How many did Krutika get?
    8·1 answer
  • A cone with radius 5 cm and height 12 cm
    7·1 answer
  • Evaluate the following expression using order of operations: 8+20÷5×2
    15·2 answers
  • The height of a sunflower increases from 82 cm to 1 metre in a week. Find the percentage increase in height.
    12·1 answer
  • Which of these transformations are isometries?
    14·1 answer
  • What is the simplest form of 6/27?
    8·1 answer
  • Are the following triangles congruent?<br> A) SAS<br> B) ASA<br> C) SSS<br> D) NOT
    12·1 answer
  • Where would the point
    14·2 answers
  • If f (x) = -2/3x -1 what is the value of f (9)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!