Question

In: Math

Write the first four terms of the sequence defined by the explicit formula an = 10n + 3.

Write the first four terms of the sequence defined by the explicit formula an = 10n + 3.

Solutions

Expert Solution

Consider a sequence defined by the explicit formula,

an = 10n + 3

 

Substitute n = 1 in the formula an = 10n + 3 and compute first term of the sequence,

a1 = 101 + 3

     = 10 + 3

     = 13

 

Substitute n = 2 in formula an = 10n + 3 and compute second term of the sequence,

a2 = 102 + 3

     = 100 + 3

     = 103

 

Substitute n = 3 in formula an = 10n + 3 and compute third term of the sequence,

a3 = 103 + 3

     = 1000 + 3

     = 1003

 

Substitute n = 4 in formula an = 10n + 3 and compute fourth term of the sequence,

a4 = 104 + 3

     = 10,000 + 3

     = 10,003

 

Therefore, first four terms of the given sequence are {13, 103, 1003, 10,003}.


Therefore, first four terms of the given sequence are {13, 103, 1003, 10,003}.

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