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In an arithmetic sequence, (a_2=19) and (a_8=-17). What is its explicit rule?

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Answer and explanation

Correct answer: (a_n=31-6n)

The change over six gaps is (-36), so (d=-6), hence (a_n=31-6n). From two given terms first find the common difference.

Related tags

SequencesProgressionsArithmetic-SequenceExplicit-Rule

Frequently asked questions

What is the correct answer to this question?

(a_n=31-6n)

Why is this the correct answer?

The change over six gaps is (-36), so (d=-6), hence (a_n=31-6n). From two given terms first find the common difference.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.

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