In an arithmetic sequence, (a_1=14) and (a_6=-1). What is its explicit rule?
Answer and explanation
Correct answer: (a_n=17-3n)
The total change over five gaps is (-15), so (d=-3), hence (a_n=14+(n-1)(-3)=17-3n). Find the common difference first.
Frequently asked questions
What is the correct answer to this question?
(a_n=17-3n)
Why is this the correct answer?
The total change over five gaps is (-15), so (d=-3), hence (a_n=14+(n-1)(-3)=17-3n). Find the common difference first.
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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