What is the first five terms of the sequence with a pattern of an = n2 + 4? What is the 50th term of the sequence an = 4n – 3?

Question

What is the first five terms of the sequence with a pattern of an = n2 + 4?

What is the 50th term of the sequence an = 4n – 3?

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Diễm Thu 3 years 2021-08-08T00:46:16+00:00 1 Answers 21 views 0

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  1. danthu
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    2021-08-08T00:47:27+00:00
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    Answer:

    see explanation

    Step-by-step explanation:

    To obtain the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the rule, that is

    a₁ = 1² + 4 = 1 + 4 = 5

    a₂ = 2² + 4 = 4 + 4 = 8

    a₃ = 3² + 4 = 9 + 4 = 13

    a₄ = 4² + 4 = 16 + 4 = 20

    a₅ = 5² + 4 = 25 + 4 = 29

    The first 5 terms are 5, 8, 13, 20, 29

    To obtain the 50 th term substitute n = 50 into the rule

    a₅₀ = 4(50) – 3 = 200 – 3 = 197

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