If (a_n=6n-5), which term will be equal to (31)?
Answer and explanation
Correct answer: \(n=6\)
To find the term equal to 31, set \(6n-5=31\). This gives \(6n=36\), so \(n=6\). Hence, 31 is the sixth term of the sequence. Substituting \(n=5\) gives 25, so it is a close but incorrect option. Exam tip: when asked for a term number, equate the required value to the general term and solve for \(n\).
Frequently asked questions
What is the correct answer to this question?
\(n=6\)
Why is this the correct answer?
To find the term equal to 31, set \(6n-5=31\). This gives \(6n=36\), so \(n=6\). Hence, 31 is the sixth term of the sequence. Substituting \(n=5\) gives 25, so it is a close but incorrect option. Exam tip: when asked for a term number, equate the required value to the general term and solve for \(n\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
