If \(a_1=64\) and \(a_{n+1}=\frac{a_n}{2}\), what is \(a_4\)?
Answer and explanation
Correct answer: 8
By the recursive rule, each new term is half of the preceding term. Thus, \(a_2=64/2=32\), \(a_3=32/2=16\), and \(a_4=16/2=8\). Therefore, the correct answer is 8. Option 16 is the third term, \(a_3\), not the fourth term. Exam tip: Start counting from \(a_1\) and apply the given rule at every step.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
By the recursive rule, each new term is half of the preceding term. Thus, \(a_2=64/2=32\), \(a_3=32/2=16\), and \(a_4=16/2=8\). Therefore, the correct answer is 8. Option 16 is the third term, \(a_3\), not the fourth term. Exam tip: Start counting from \(a_1\) and apply the given rule at every step.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Recursive rule.
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