## Related questions with answers

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.

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

Solution

Verified$Clearly\ a_{n}=|-3+(2n-4)|$

$So\ a_{4}=|-3+(2\times4-4)|=|-3+4|$

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

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

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