What is a fixed value that is added to each term in the progression to obtain the next term. How to get sequence by adding the common difference and the second term. Class 10th Maths, CBSE Board and State Board.
Page No:99 Questions No:4 Part (iii) Chapter 5 EXERCISE 5.1.
Which of the following are APs ? If they form an AP, find the common difference d and write three more terms. – 1.2, – 3.2, – 5.2, – 7.2, . . .
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– 1.2, – 3.2, – 5.2, – 7.2, . . .
a₂ – a₁ = – 3.2 – (- 1.2) = – 2.0
a₃ – a₂ = – 5.2 – (-3.2) = – 2.0
a₄ – a₃ = 7.2 – (- 5.2) = – 2.0
The difference between the successive terms are same Hence, it is an A.P.
Common difference = – 2.0, next three terms of this AP is as follows:
Fifth term a₅ = a₄ + d = 7.2 + 2.0 = – 9.2
Sixth term a₆ = a₅ + d = – 9.2 – 2.0 = – 11.2
Seventh term a₇ = a₆ + d = – 11.2 – 2.0 = – 13.2 .