Find which the difference between any two consecutive terms is always the same.
How prove to if the all the terms are the same and there is no common difference.
How, to solve the Arithmetic progressions.
EXERCISE 5.1, NCERT Books for Session 2022-2023 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. –1/2, – 1/2, – 1/2, – 1/2, . . .
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–1/2, – 1/2, – 1/2, – 1/2, . . .
a₂ – a₁ = – 1/2 – (-1/2) = 0
a₃ – a₂ = – 1/2 – (-1/2) = 0
a₄ – a₃ = – 1/2 – (-1/2) = 0
The difference between the successive terms are not same Hence, it is not an A.P.
Common difference = 0, next three terms of this AP is as follows:
Fifth term a₅ = a₄ + d = – 1/2 + 0 = – 1/2
Sixth term a₆ = a₅ + d = – 1/2 + 0 = – 1/2
Seventh term a₇ = a₆ + d = – 1/2 + 0 = – 1/2.