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n an
1 6
2 11
3 16
4 21

Which recursive formula describes this sequence?
a1 = 1 and an = 5n-1 +1
a1 = 6 and an = an-1 + 5
a1 = 6 and an = a1 + 6
a1 = 1 and an = a6 + 1


N An 1 6 2 11 3 16 4 21 Which Recursive Formula Describes This Sequence A1 1 And An 5n1 1 A1 6 And An An1 5 A1 6 And An A1 6 A1 1 And An A6 1 class=

Sagot :

Answer:

  (b)  a1 = 6, a(n) = a(n -1) +5

Step-by-step explanation:

It helps to recognize the form of a recursive definition for an arithmetic sequence. It looks like ...

  [tex]a_1=\text{(first term)},\ a_n=a_{n-1}+d\qquad\text{for common difference $d$}[/tex]

Only one of the offered answer choices has this form. That is the correct choice.

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