What will be the twelfth term in the sequence (4,8,12,16,\ldots)?
Answer and explanation
Correct answer: 48
This is an arithmetic progression with first term \(a=4\) and common difference \(d=4\). Therefore, \(a_{12}=a+(12-1)d=4+11\times4=48\). Hence, 48 is correct. The value 44 can result from incorrectly adding only 10 differences; from the first term to the twelfth term, there are 11 differences. Exam tip: use \(a_n=a+(n-1)d\) and substitute the values carefully.
Frequently asked questions
What is the correct answer to this question?
48
Why is this the correct answer?
This is an arithmetic progression with first term \(a=4\) and common difference \(d=4\). Therefore, \(a_{12}=a+(12-1)d=4+11\times4=48\). Hence, 48 is correct. The value 44 can result from incorrectly adding only 10 differences; from the first term to the twelfth term, there are 11 differences. Exam tip: use \(a_n=a+(n-1)d\) and substitute the values carefully.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.
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