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Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. -1.2, -3.2, -5.2, -7.2 … - Mathematics

Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. -1.2, -3.2, -5.2, -7.2 …

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Solution

−1.2, −3.2, −5.2, −7.2 …

It can be observed that

a2 − a1 = (−3.2) − (−1.2) = −2

a3 − a= (−5.2) − (−3.2) = −2

a4 − a3 = (−7.2) − (−5.2) = −2

i.e., ak+1− ak is same every time. Therefore, d = −2

The given numbers are in A.P.

Three more terms are

a5 = − 7.2 − 2 = −9.2

a6 = − 9.2 − 2 = −11.2

a7 = − 11.2 − 2 = −13.2

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 10 Maths
Chapter 5 Arithmetic Progressions
Exercise 5.1 | Q 4.03 | Page 99
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