Question

1 Show that the sequence defined by a, = 2n2+1 is not an A.P.​

Answer 1

Step-by-step explanation:

Note: The question is not typed properly and hence i assume the question to be,

S.T the sequence defined by aₙ = 2n² + 1 is not an A.P

soln :

a₁ = 2(1)² + 1 = 2(1) + 1 = 2+1 = 3

a₂ = 2(2)² + 1 = 2(4) + 1 = 8+1 = 9

a₃ = 2(3)² + 1 = 2(9) + 1 = 18+1 = 19

a₄ = 2(4)² + 1 = 2(16) + 1 = 32+1 = 33

here d₁ = a₂-a₁ = 9-3 = 6

        d₂ = a₃-a₂ = 19-9 = 10

        d₃ = a₄-a₃ = 33-19 = 14

its is obvious that d₁ ≠ d₂ ≠ d₃

=> the difference is not common, ie., there is no common difference

and hence the so formed sequence doen not forms an Arithmetic progression

Answer 2

Answer:

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