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Question

For this item, describe the following sequence using either a mathematical operation or a verbal description, indicate if the sequence is increasing or decreasing or neither, and list the next two terms.

3+(2),3+0,3+2,3+4,|-3+(-2)|,|-3+0|,|-3+2|,|-3+4|, \ldots

Solution

Verified

Clearly an=3+(2n4)Clearly\ a_{n}=|-3+(2n-4)|

So a4=3+(2×44)=3+4So\ a_{4}=|-3+(2\times4-4)|=|-3+4|

So a5=3+(2×54)=3+6So\ a_{5}=|-3+(2\times5-4)|=|-3+6|

So a6=3+(2×64)=3+8.So\ a_{6}=|-3+(2\times6-4)|=|-3+8|.

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