0 reads0 ratings0 helpful
If (a_4=29) and (d=6), what is the first term (a)?
Advertisement
Answer and explanation
Correct answer: 11
In an arithmetic progression, the fourth term is \(a_4=a+(4-1)d=a+3d\). Thus, \(29=a+3(6)=a+18\), so \(a=11\). If 13 were chosen, the fourth term would be \(13+18=31\), not the given 29. Exam tip: use \(a_n=a+(n-1)d\) for the \(n\)th term.
Frequently asked questions
What is the correct answer to this question?
11
Why is this the correct answer?
In an arithmetic progression, the fourth term is \(a_4=a+(4-1)d=a+3d\). Thus, \(29=a+3(6)=a+18\), so \(a=11\). If 13 were chosen, the fourth term would be \(13+18=31\), not the given 29. Exam tip: use \(a_n=a+(n-1)d\) for the \(n\)th term.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Arithmetic Progression.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement