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Gwar [14]
3 years ago
5

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

Mathematics
1 answer:
algol [13]3 years ago
3 0

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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