Which of the sequences is being generated by an "Explicit Formula"? a n </msu

Sylvia Byrd 2022-07-02 Answered
Which of the sequences is being generated by an "Explicit Formula"?

a n = n 2 + 3
a n = 5 n 7
a n = 2 n + 1
a n + 2 = a n + 1 3 a n
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Answers (2)

talhekh
Answered 2022-07-03 Author has 15 answers
1) a n = n 2 + 3
n = 1 , a 1 = 4
n = 2 , a 2 = 7
n = 3 , a 3 = 12
n = 4 , a 4 = 19
Thus, we have the sequence 4 , 7 , 12 , 19 , . . .

2) a n = 5 n 7
n = 1 , a 1 = 2
n = 2 , a 2 = 3
n = 3 , a 3 = 8
Thus, we have the sequence 2 , 3 , 8 , . . .

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uplakanimkk
Answered 2022-07-04 Author has 6 answers
(3) Given: a n = 2 n + 1

I f   n = 1 , a 1 = 2 2 = 1
I f   n = 2 , a 2 = 2 3
I f   n = 3 , a 3 = 2 4 = 1 2

Sequence: 1 , 2 3 , 1 2 , . . .

(4) Given: a n + 2 = a n + 1 3 a n

I f   n = 1 , a 3 = a 2 3 a 1
We can’t find terms from this formula , thus, this isn’t explicit formula

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