If (a_1=2) and (a_{n+1}=3a_n-1), what will be the value of (a_5)?
Answer and explanation
Correct answer: 122
Apply the recurrence step by step: \(a_2=3(2)-1=5\), \(a_3=3(5)-1=14\), and \(a_4=3(14)-1=41\). Therefore, \(a_5=3(41)-1=122\). The value 116 can result from an error in multiplication or subtraction in the final step. Exam tip: write each intermediate term before finding the required term.
Frequently asked questions
What is the correct answer to this question?
122
Why is this the correct answer?
Apply the recurrence step by step: \(a_2=3(2)-1=5\), \(a_3=3(5)-1=14\), and \(a_4=3(14)-1=41\). Therefore, \(a_5=3(41)-1=122\). The value 116 can result from an error in multiplication or subtraction in the final step. Exam tip: write each intermediate term before finding the required term.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Sequences.
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