Mathematics: Me pls represent the arithmetic series using the recursive formula. 94, 89, 84, 79, … f(n) = f(1) + (−5) f(n) = f(1) + (5) f(n) = f(n − 1) + (−5) f(n) = f(n − 1) + (5)

hardStep-by-step explanation:...

Me pls represent the arithmetic series using the

litwork1726

15.01.2022

Option C) is correct

That is the given arithmetic sequence represents the recursive formula is f(n)=f(n-1)+(-5)

Step-by-step explanation:

The given arithmetic sequence is ${\{94,89,84,79,...}\}$

Let f(1)=94,f(2)=89,f(3)=84,...

To find the common difference d :

d=f(2)-f(1) ,

=89-94

=-5

Therefore d=-5

d=f(3)-f(2) ,

=84-89

=-5

Therefore d=-5

Therefore the common difference d=-5

check the recursive formula f(n)=f(n-1)+d which represents the given arithmetic sequence

Put n=2 and d=-5 in f(n)=f(n-1)+d we get

f(2)=f(2-1)+(-5)

=f(1)-5

=94-5

Therefore f(2)=89

Put n=3 and d=-5 in f(n)=f(n-1)+d we get

f(3)=f(3-1)+(-5)

=f(2)-5

=89-5

Therefore f(3)=84

and so on

Therefore the recursive formula f(n)=f(n-1)+d where d=-5

Therefore the recursive formula f(n)=f(n-1)+(-5) represents the given arithmetic sequence

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