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
stira [4]
2 years ago
12

Find the seventeenth term of the arithmetic sequence -4, -9, -15

Mathematics
1 answer:
Rufina [12.5K]2 years ago
6 0
When facing problems where you have to find a certain term of a sequence, look really closely for patterns. Some sequences have a really easy pattern like adding or subtracting numbers. Other sequences have more complicated patterns.

In this case, based solely on the three numbers you are given you can observe that the numbers are decreasing.

Here's what we can see so far:

To get from the 1st term to the 2nd term:
subtract 5 from the starting number
To get from the 2nd term to the 3rd term:
subtract 6 from the above result

Even though we only have a small piece of the pattern, let's try extending it! We're going to continue subtracting, but we're going to increase the amount that we take away every time.

Try solving it yourself before you look ahead! :)

So continuing the pattern:

Start at -4

To get from the 1st term to the 2nd term:
subtract 5
(-4 - 5) = -9

To get from the 2nd term to the 3rd term:
subtract 6
(-9 - 6) = -15

To get from the 3rd term to the 4th term:
subtract 7
(-15 - 7) = -22

To get from the 4th term to the 5th term:
subtract 8
(-22 - 8) = -30

To get from the 5th term to the 6th term:
subtract 9
(-30 - 9) = -39

[...continue this pattern until you reach the 17th term...]

Before you just write down the answer, make sure you do your own work! I calculated that the 17th term was -204.

Try practicing with some other sequences of numbers! You've got this!
You might be interested in
What is the value of x?? please help
DaniilM [7]

Answer:

x=64

Step-by-step explanation:

Both the semicircle that says 180, and the right angle sign in the image serve to support the idea that all parts of the figure equal 90

Therefore, it is safe to say that you need to subtract 26 from 90 in order to solve for x.

90-26 = 64

8 0
3 years ago
Read 2 more answers
Lincoln memorial geometrical shape​
meriva

Answer:

hot and sticky

Step-by-step explanation:

hkjogfhh

3 0
3 years ago
Timmy writes the equation f(x) = 1/4x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2
Assoli18 [71]

Answer:

The answer is

Step-by-step explanation:

The line of g(x) is steeper and has a lower y-intercept

:)

That’s the answer <3

3 0
3 years ago
Read 2 more answers
2x(8+7)-6/2x(9-3) evaluate
Katarina [22]
Ok so assuming that the 'x' means multiply and not 'x' as in placeolder we do

PEMDAS
parenthaseees
exponents
multipilcation or division
additon or subtraction

parethasees simplify first
(8+7)=15


(9-3)=6

now we have
2x(15)-6/2x(6)
multiply
2x15=30

6/2x6=36/2=18

now we have
30-18
12

answer is 12
6 0
3 years ago
Read 2 more answers
I really need the help <br><br> y&gt;_ -5<br> y- 1 &lt; 3x
kkurt [141]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Find the simple interest. Principal ​$2300 rate 20​% time 27 months The interest is ​$ ?
    7·1 answer
  • Need answer asap. will give thanks
    5·2 answers
  • If they are drawn with replacement, what is the probability that both cards are 10s?
    7·1 answer
  • The quotient of 2 times a number and 8
    9·2 answers
  • How many times larger than 3 x 10^4 is to 15 x 10^8
    10·2 answers
  • PLEASE ASSIST ME IN THE ALGEBRA PROBLEM !!!
    12·1 answer
  • Using the rule y = -x + 2, complete the input/output table shown below
    15·1 answer
  • 3 1/5 divided by 4 = ?<br> what is the answer and how did you get it
    12·1 answer
  • PLEASE HELP ALGEBRA 2 <br> Question is on the photo below
    5·1 answer
  • Number 15 please<br> logarithms <br> algebra two
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!