Question

In: Advanced Math

For the following exercises, write the first four terms of the sequence.

For the following exercises, write the first four terms of the sequence.

Solutions

Expert Solution

Consider the explicit formula of a sequence,

an = (2n + 1)/n3 ...... (1)

 

Compute first term of the sequence by substituting n = 1 in formula (1),

a1 = (2 × 1 + 1)/13

      = 3/1

     = 3

 

Compute second term of the sequence by substituting n = 2 in formula (1),

a2 = (2 × 2 + 1)/23

     = 5/8

 

Compute third term of the sequence by substituting n = 3 in formula (1),

a3 = (2 × 3 + 1)/33

     = 7/27

 

Compute forth term of the sequence by substituting n = 4 in formula (1),

a4 = (2 × 4 + 1)/43

     = 9/64

 

Therefore, the first four terms of the given sequence are {3, 5/8, 7/27, 9.64}.

Therefore, the first four terms of the given sequence are {3, 5/8, 7/27, 9.64}.

Umair answered 1 year ago
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