Can 2n 2 - 7 be the n th term of an A.P. Explain.

Given, a n = 2n 2 - 7 a 1 = 2(1) 2 - 7 = 2 - 7 = -5 a 2 = 2(2) 2 - 7 = 8 - 7 = 1 a 3 = 2(3) 2 - 7 = 18 - 7 = 11 Here, a 2 - a 1 = 1 - (-5) = 6 and a 3 - a 2 = 11 - 1 = 10. Since, difference is not common. Hence, 2n 2 - 7 cannot be the n th term of an A.P.

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Mathematics

Can 2n² - 7 be the n^th term of an A.P. Explain.

AP

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Answer

Given,

a_n = 2n² - 7

a₁ = 2(1)² - 7 = 2 - 7 = -5

a₂ = 2(2)² - 7 = 8 - 7 = 1

a³ = 2(3)² - 7 = 18 - 7 = 11

Here, a₂ - a₁ = 1 - (-5) = 6 and a₃ - a₂ = 11 - 1 = 10.

Since, difference is not common.

Hence, 2n² - 7 cannot be the n^th term of an A.P.

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Mathematics

Can 2n² - 7 be the n^th term of an A.P. Explain.

AP

Answer

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Can 2n2 - 7 be the nth term of an A.P. Explain.

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