Consider the following sequence. s_{n} = 2n − 1 (a) Find the first three terms of the sequence whose nth term is given. s_{1} = s_{2} = s_{3} = (b) Cl

glasskerfu 2020-11-09 Answered
Consider the following sequence.
sn=2n1
(a) Find the first three terms of the sequence whose nth term is given.
s1=
s2=
s3=
(b) Classify the sequence as arithmetic, geometric, both, or neither. arithmetic, geometric bothneither
If arithmetic, give d, if geometric, give r, if both, give d followed by r. (If both, enter your answers as a comma-separated list. If neither, enter NONE.)
You can still ask an expert for help

Want to know more about Polynomial arithmetic?

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

Expert Answer

joshyoung05M
Answered 2020-11-10 Author has 97 answers
Step 1
The given sequence is, sn=2n1
a)Find the first three terms of the sequence as shown below.
s1=2(1)1
=21
=1
s2=2(2)1
=41
=3
s3=2(3)1
=61
=5
Therefore,
s1=1
s2=3
s3=5
Step 2
b)The given sequence is,
sn=2n1
The tems of the sequence are 1,3,5,7,...
Here, s2s1=31
=2
s3s2=53
=2
That implies, there exists a common difference between two successive numbers.
So, the given sequence is an arithmetic sequence whose common difference is d=2.
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-12-26 Author has 2313 answers

Expert Community at Your Service

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

New questions