# How to find the indicated term ?

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#(x + 1/(2x^2))^12# , middle term

Thinking about

#(a+b)^12=a^12 + 12 a^11 b + 66 a^10 b^2 + 220 a^9 b^3 + 495 a^8 b^4 + 792 a^7 b^5 + 924 a^6 b^6 + 792 a^5 b^7 + 495 a^4 b^8 + 220 a^3 b^9 + 66 a^2 b^10 + 12 a b^11 + b^12#

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To find the indicated term in a sequence, you need to know the position of the term you're looking for and the rule or pattern governing the sequence. Once you have these two pieces of information, you can apply the formula or method specific to the type of sequence you're dealing with. For arithmetic sequences, you can use the formula: ( a_n = a_1 + (n-1)d ), where ( a_n ) is the ( n )-th term, ( a_1 ) is the first term, ( n ) is the position of the term, and ( d ) is the common difference between terms. For geometric sequences, the formula is ( a_n = a_1 \times r^{n-1} ), where ( a_n ) is the ( n )-th term, ( a_1 ) is the first term, ( n ) is the position of the term, and ( r ) is the common ratio between terms. Once you have the appropriate formula, substitute the values into it to find the indicated 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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