If aₙ = 5n + 3, which term is equal to 88?
Answer and explanation
Correct answer: n = 17
This question tests the use of an explicit sequence rule. The expression aₙ = 5n + 3 gives the value of the nth term, so to find the term equal to 88 we solve 5n + 3 = 88. Subtract 3 from both sides to obtain 5n = 85. Dividing by 5 gives n = 17. Therefore, 88 is the seventeenth term and option C is correct. Checking confirms that a₁₇ = 5(17) + 3 = 85 + 3 = 88. The other choices produce 78, 83, and 93, respectively, so none of them meets the required value.
Frequently asked questions
What is the correct answer to this question?
n = 17
Why is this the correct answer?
This question tests the use of an explicit sequence rule. The expression aₙ = 5n + 3 gives the value of the nth term, so to find the term equal to 88 we solve 5n + 3 = 88. Subtract 3 from both sides to obtain 5n = 85. Dividing by 5 gives n = 17. Therefore, 88 is the seventeenth term and option C is correct. Checking confirms that a₁₇ = 5(17) + 3 = 85 + 3 = 88. The other choices produce 78, 83, and 93, respectively, so none of them meets the required value.
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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