If the fourth term of (3, 3+d, 3+2d, 3+3d) is 24, what is the second term?
Answer and explanation
Correct answer: 10
The fourth term is 3+3d, so the given condition gives 3+3d=24. Hence 3d=21 and d=7. The second term is 3+d=3+7=10. Therefore option C is correct. The other choices do not satisfy the same value of d: using 8, 9 or 12 as the second term would make the fourth term different from 24.
Frequently asked questions
What is the correct answer to this question?
10
Why is this the correct answer?
The fourth term is 3+3d, so the given condition gives 3+3d=24. Hence 3d=21 and d=7. The second term is 3+d=3+7=10. Therefore option C is correct. The other choices do not satisfy the same value of d: using 8, 9 or 12 as the second term would make the fourth term different from 24.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..
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