# How do you find the first five terms given #a_1=6# and #a_(n+1)=a_n+n+3#?

First five term are

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To find the first five terms of the sequence defined by ( a_1 = 6 ) and ( a_{n+1} = a_n + n + 3 ), we can use the recursive formula provided.

We'll start with ( a_1 = 6 ), and then apply the recursive formula to find each subsequent term.

- ( a_1 = 6 )
- ( a_2 = a_1 + 1 + 3 = 6 + 1 + 3 = 10 )
- ( a_3 = a_2 + 2 + 3 = 10 + 2 + 3 = 15 )
- ( a_4 = a_3 + 3 + 3 = 15 + 3 + 3 = 21 )
- ( a_5 = a_4 + 4 + 3 = 21 + 4 + 3 = 28 )

So, the first five terms of the sequence are: 6, 10, 15, 21, 28.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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