# (1) Find first five terms f the following sequences? (2) Given first few terms find the explicit formula for #n^(th)# term?

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1(a) #f(n)=(-1)^n(2n+1)/n^2#

1(b) #f(n)=sin((3pi)/n)/n#

2(a) #{1,1/2,1/6,1/24,1/120,.}#

2(b) #{3,3/2,1,3/4,3/5,.}#

2(c) #{1,-sqrt7,7,-7sqrt7,.}#

1(a)

1(b)

2(a)

2(b)

2(c)

(1) The first five terms of a sequence are the first five numbers in the sequence. (2) To find the explicit formula for the nth term of a sequence, you can use the method of finite differences or observe the pattern in the given terms to derive a formula that relates the term number (n) to the value of the term.

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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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