Math, asked by ayush9871, 1 year ago

a sequence is given by an=n2-1 nen prove that it is not ap

Answers

Answered by MaheswariS
6

\textbf{Given:}

a_n=n^2-1

\textbf{To prove:}

\text{It is not an A.P}

\textbf{Solution:}

\text{Consider,}

a_n=n^2-1

\text{For}\;n=1,\;a_1=1^2-1=1-1=0

\text{For}\;n=2,\;a_2=2^2-1=4-1=3

\text{For}\;n=3,\;a_3=3^2-1=9-1=8

a_2-a_1=3-0=3

a_3-a_2=8-3=5

\implies\,a_2-a_1{\neq}a_3-a_2

\textbf{Hence $\bf\,a_n$ is not an A.P}

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