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Eduardwww [97]
3 years ago
13

Write a recursive rule and explicit rule for the arithmetic sequence 19,9,-1,-11, ...

Mathematics
1 answer:
serg [7]3 years ago
6 0
★ Arithmetic Progression [ Explicit and Recursive notation ] ★

Arithmetic Sequence - 19 , 9 , -1 ...

Recursive Notation -

First term = 19
Common difference = -10

In subscript notation - [ a₁ = 19 , aₙ = aₙ-₁ -10 ]
In functional notation - f(n) = f (n -1) -10

Explicit Notation - f ( n ) = f ( 1 ) + d ( n - 1 )

= 19 - 10 ( n -1 )
= 29 - 10n

It's functional and subscript notations resides the same


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The complete question in the attached figure

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