How to the common difference to each term in the sequence. How to get sequence by adding the common difference and the second term. NCERT solutiions for class 10th maths Exercise 5.1, Arithmetic progressions.
10th Maths Page No:99 Questions No:4 Part (iv) are based on CBSE Board.
Which of the following are APs ? If they form an AP, find the common difference d and write three more terms. – 10, – 6, – 2, 2, . . .
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– 10, – 6, – 2, 2, . . .
a₂ – a₁ = – 6 – (-10) = 4
a₃ – a₂ = – 2 – (-6) = 4
a₄ – a₃ = 2 – (- 2) = 4
The difference between the successive terms are same Hence, it is an A.P.
Common difference = 4, next three terms of this AP is as follows:
Fifth term a₅ = a₄ + d = 2 + 4 = 6
Sixth term a₆ = a₅ + d = 6 + 4 = 10
Seventh term a₇ = a₆ + d = 10 + 4 = 14 .