An Introduction to Arithmetic Sequences (VCE SSCE General Mathematics): Flashcards

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An Introduction to Arithmetic Sequences
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Definition of arithmetic sequence

Pattern where same fixed amount is added/subtracted each time

Symbol for common difference

DD

Formula for common difference

D=extanytermextprevioustermD = ext{any term} - ext{previous term}

What positive DD indicates

Increasing (ascending) sequence

What negative DD indicates

Decreasing (descending) sequence

How to identify arithmetic sequence

Check if difference between consecutive terms is constant

Shape of arithmetic sequence graph

Points lie along a straight line

Graph slope when D>0D > 0

Positive slope (upward/rising line)

Graph slope when D<0D < 0

Negative slope (downward/falling line)

How to find next term in sequence

Add common difference DD to last known term

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