A farmer plants (4) more plants each day. If he plants (6) plants on the first day, what will the sequence be?
Answer and explanation
Correct answer: \(6,10,14,18,\ldots\)
The number of plants on the first day is 6, and 4 more plants are added each subsequent day. Thus, the terms are 6, 6 + 4 = 10, 10 + 4 = 14, and 14 + 4 = 18. Therefore, the sequence is \(6,10,14,18,\ldots\), with common difference 4. Option B is incorrect because its first term is 4 instead of 6. Exam tip: To identify an AP, check whether the difference between consecutive terms remains constant.
Frequently asked questions
What is the correct answer to this question?
\(6,10,14,18,\ldots\)
Why is this the correct answer?
The number of plants on the first day is 6, and 4 more plants are added each subsequent day. Thus, the terms are 6, 6 + 4 = 10, 10 + 4 = 14, and 14 + 4 = 18. Therefore, the sequence is \(6,10,14,18,\ldots\), with common difference 4. Option B is incorrect because its first term is 4 instead of 6. Exam tip: To identify an AP, check whether the difference between consecutive terms remains constant.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Word problems based on APs.
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