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A plant grows (2) cm every day. The heights are (12,14,16,18,\ldots). What is the height on the fourth day?

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Answer and explanation

Correct answer: (18) cm

This is an arithmetic progression with first term (12) and common difference (2). The fourth term is \(a_4=a_1+(4-1)d=12+3\times2=18\) cm, so option C is correct. For exams, remember that finding the fourth term requires adding the common difference three times to the first term, not four times.

Tags

arithmetic progressioncommon differenceterm positionword problem

Frequently asked questions

What is the correct answer to this question?

(18) cm

Why is this the correct answer?

This is an arithmetic progression with first term (12) and common difference (2). The fourth term is \(a_4=a_1+(4-1)d=12+3\times2=18\) cm, so option C is correct. For exams, remember that finding the fourth term requires adding the common difference three times to the first term, not four times.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an AP.

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