Question

In: Advanced Math

For the following exercises, use the recursive formula to write the first five terms of the arithmetic sequence. a1 = 39; an = an − 1 −3

For the following exercises, use the recursive formula to write the first five terms of the arithmetic sequence. 

a1 = 39; an = an − 1 −3

Solutions

Expert Solution

Consider the recursive formula of an arithmetic sequence,

a1 = 39

an = an-1 - 3 ...... (1)

 

The first term of given sequence is a1 = 39

 

Compute second term as follows:

a2 = a1 – 3

     = 39 -3

     = 36

 

Compute third term of the sequence as follows:

a3 = a2 – 3

     = 36 – 3

     = 33

 

Compute forth term of the sequence as follows:

a4 = a3 – 3

     = 33 – 3

     = 30

 

Compute fifth term of the sequence as follows:

a5 = a4 – 3

     = 30 – 3

      = 27

 

Therefore, first five terms {a1, a2, a3, a4, a5} of the given arithmetic sequence are {39, 36, 33, 30, 27}.


Therefore, first five terms {a1, a2, a3, a4, a5} of the given arithmetic sequence are {39, 36, 33, 30, 27}.

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