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
Oksana_A [137]
3 years ago
8

If the fifth and eighth terms of an arithmetic sequence are minus 9 and minus 21, respectively, what are the first four terms of

the sequence?
Mathematics
1 answer:
Reil [10]3 years ago
4 0
One way to do this problem is to determine the common difference.  If the 5th and 8th terms are -9 and -21, we can do this by subtracting -9 from -21:

-21-(-9) = -12.  The 5th and 8th terms are not consecutive, so we have to think in terms of (8-5), or 3, times the common difference to get from -9 to -21.

Note that -12 divided by 3 is -4.  Thus, the common difference is -4.

Check:  -9 - 4 = -13; -13 - 4 = -17; -17 - 4 = -21 (which is correct).

We know that the 5th term is -9.  To find the 4th term, work backwards:  subtract (-4) from -9, which produces -9+4=-5.

The fourth term is -5.  Subtracting -4 from this (which is the same as adding 4 to this -5) produces the third term; it is -1.  Can you now find the 2nd and 1st terms using the same approach?

You might be interested in
On tax-free weekend, Ben buys school supplies totaling $47.50. He has a sale coupon for 15% off his entire purchase. What will B
Thepotemich [5.8K]
47.50 x .15= 7.125
47.50-7.125=40.375
3 0
2 years ago
What is -17 mod 8 I’m confused at the moment
alukav5142 [94]

Answer:

-136

Step-by-step explanation:

Given :

-17(|8|)

Mod of positive number is positive

So, |8|=8

-17(8)

=-136

Therefore,-17 mod 8 is -136

4 0
3 years ago
Probability of a zebra living longer than 32.2 years
Julli [10]
1/30 the explanation is joe
5 0
3 years ago
1 3/5 x 1 1/3 = 8/5 x 4/3
vodomira [7]
The answer is C. Hope this helps
3 0
3 years ago
Read 2 more answers
a line has a slope of -2 and includes the points (-1,r) and (2,4). write the value of r in the empty box
guajiro [1.7K]

Answer:

r= 10

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Which represents the solution(s) of the equation x2 = 36?
    7·2 answers
  • Determine the slope of the graph of x^4=ln(xy) at the point (1,e)
    7·2 answers
  • a machinist can produce 114 Parts in 6 minutes at this rate how many parts can The Machinist produce in 15 minutes​
    14·1 answer
  • Mario has a remaining balance of $1,300 on his credit card his credit card has an APR of 20% how much will he pay in interest in
    5·1 answer
  • How do I simplify (-3)(7)+(-5)(-2)
    5·1 answer
  • Andrea has a savings account with $80 that earns 2% interest per
    5·1 answer
  • What is 72 divided by 15
    5·2 answers
  • Am i right if not pls help<br> will mark brainliest!!!
    5·2 answers
  • Q2 - With decimals
    14·1 answer
  • Find the distance speed=72km/h time=45mins
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!