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

sodni3

Answered question

2021-02-09

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 both neither If arithmetic, give d, if geometric, give r, if both, give d followed by r.

Answer & Explanation

Jayden-James Duffy

Jayden-James Duffy

Skilled2021-02-10Added 91 answers

We have sequence is, sn=2n1

a)As shown below, locate the sequence's first three terms. s1=2(1)1
=21
=1
s2=2(2)1
=41
=3
s3=2(3)1
=61
=5 Hence, 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.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-16Added 2605 answers

Answer is given below (on video)

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