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

User Oregano
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Find the third, fifth, and seventeenth terms of the sequence described by each explicit-example-1
Find the third, fifth, and seventeenth terms of the sequence described by each explicit-example-2
User Manuskc
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Answer:

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

Explanation:

The given question is incomplete; find the complete question in the attachment.

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.

Find the third, fifth, and seventeenth terms of the sequence described by each explicit-example-1
User Yanefedor
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