Find the third, fifth, and seventeenth terms of the sequence described by each explicit formula

3rd, 5th and 17th terms are 14, 20, 56 respectively.

Step-by-step explanation:

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In this question explicit formula has been given as,

f(n) = 8 + 3(n -1)

We have to find the 3rd, 5th and 17th term of the sequence described by the explicit formula given above.

For 3rd term,

Substitute n = 3 in the formula,

f(3) = 8 + 3(3 - 1)

     = 8 + (3 ×2)

     = 8 + 6

     = 14

Similarly. for n = 5,

f(5) = 8 + 3(5 - 1)

     = 8 + 3(4)

     = 8 + 12

     = 20

For n = 17,

f(17) = 8 + 3(17 - 1)

     = 8 + 3(16)

     = 8 + 48

     = 56

Therefore, 3rd, 5th and 17th terms are 14, 20 and 56 respectively.

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step-by-step explanation: