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)

sodni3 2021-02-09 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. arithmeticgeometric 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

Jayden-James Duffy
Answered 2021-02-10 Author has 91 answers

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 

b) The given sequence is sn=2n1. The terms 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 2021-12-16 Author has 2262 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