Determine if the given sequence is an arithmetic

2022-05-16 Answered

Determine if the given sequence is an arithmetic sequence. If it​ is, find the common​ difference, d.
−8​,-3, 2, 7, ...
 

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Haidar Ali
Answered 2022-07-21 Author has 4 answers

Note that a sequence of the form a1,a2,a3,a4, . . .  is said to be an arithmetic sequence if the difference between every two consecutive terms of the sequence is the same.

The given sequence is:

-8,-3,2,7, . . .

Calculate the difference between the second and first term:

-3-(-8)=-3+8=5

Calculate the difference between the third and second term:

2-(-3)=2+3=5

Calculate the difference between the fourth and third term:

7-2=5

It follows that the difference between two consecutive terms is the same. Hence the sequence -8,-3,2,7, . . . is an arithmetic sequence.

 

The common difference is 5.

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2020-12-30

A majorette in a parade is performing some acrobatic twirlingsof her baton. Assume that the baton is a uniform rod of mass 0.120 kg and length 80.0 cm. 
With a skillful move, the majorette changes the rotation ofher baton so that now it is spinning about an axis passing throughits end at the same angular velocity 3.00 rad/s as before. What is the new angularmomentum of the rod?

asked 2021-09-22

Painful bone metastases are common in advanced prostate cancer. Physicians often order treatment with strontium-89 (89Sr), a radionuclide with a strong affinity for bone tissue. A patient is given a sample containing 4 mCi of 89Sr.
If 20% of the 89Sr remains in the body after 90 days, write a function of the form Q(t)=Q0ekt to model the amount Q(t) of radioactivity in the body t days after the initial dose.
b. what is the biological half-life of 89Sr under this treatment? Round to the nearest tenth of a day.

asked 2022-05-13
De-Broglie equation for other particles except photon
If E=hf is applicable for electron and other particles, the De Broglie wavelength should be λ=hv/pc. Because, mc^2=hf which implies mc^2=hc/λ which implies m=h/λc and thus λ=hv/pc. But I have found in my text book that λ=h/p is applicable not only for photon but also for all particle. But how can λ=h/p=h/mv be applicable for all particle?
asked 2021-02-08

m Find m Y=(6x+44)
Z=(10x+65)

asked 2022-05-29
How can I write the following equation as a first-order vector differential equation?
m d 2 x d 2 t + 2 γ m d x d t + k x = 0 .
asked 2022-04-29

3.1 where 1 is repeating

asked 2021-12-12
If you obtained one thousand 95% confidence intervals for a population mean, μ, roughly how many of the intervals would actually contain μ?

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question