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In a training program, running distance increases by (0.4) km each day. The distances are (1.2,1.6,2.0,2.4,\ldots). What is the difference between the third and first terms?

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Answer and explanation

Correct answer: 0.8

The first term is 1.2 km and the third term is 2.0 km. Therefore, the difference is 2.0 - 1.2 = 0.8 km. There are two equal gaps from the first term to the third term, so the difference is 2d = 2 × 0.4 = 0.8. Option 0.4 is only the difference between consecutive terms. Exam tip: In an AP, use aₙ - aₘ = (n - m)d.

Related tags

Arithmetic ProgressionCommon DifferenceTerm DifferenceDecimal ArithmeticGrade 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

0.8

Why is this the correct answer?

The first term is 1.2 km and the third term is 2.0 km. Therefore, the difference is 2.0 - 1.2 = 0.8 km. There are two equal gaps from the first term to the third term, so the difference is 2d = 2 × 0.4 = 0.8. Option 0.4 is only the difference between consecutive terms. Exam tip: In an AP, use aₙ - aₘ = (n - m)d.

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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