Mathematics: 3, 8, 13, 18, 23, 28, 33, 38 what is the recursive function? what is the explicit function? i don t completely understand the two functions, if anyone could me out that would be great : )

3, 8, 13, 18, 23, 28, 33, 38 what is the recursive - id38131823283338803793, jsph5332

alundriaf6206

30.05.2020

The given series is

3,8,13,18,23,28,33,38,...

Where the first term, a , is 3.

And the difference is constant, that is

8-3=13-8=18-13=5

So the constant difference, d is 3.

Since the difference is constant, so the given series is arthmetic.

And for explicit rule, we use the formula of nth term, which is

$a_{n}= a+(n-1)d$

Substituting the values of a and d, we will get

$a_{n} = 3+(n-1)5
\\
a_{n} = 3+5n-5
\\
a_{n} = 5n -2$

Recursive rule is used to tell us the relationship between previous and current term. And the required rule is

$a_{n} = a_{n-1} +5 , a_{1} = 3$

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wendyyy7774

21.12.2020

Step-by-step explanation:

It might be wrong but I am pretty sure it is right

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