Math, asked by somsaisatapathy06, 6 months ago

Find an explicit formula for the arithmetic sequence 170,85,0,-85,......
d(n)=

Answers

Answered by MaheswariS
0

\underline{\textsf{Given:}}

\textsf{A.P is 170, 85,0,-85,.......}

\underline{\textsf{To find:}}

\textsf{Explicit formula for the given A.P}

\underline{\textsf{Solution:}}

\textsf{Consider,}

\textsf{170, 85,0,-85,.......}

\textsf{Here, a=170, d=-85}

\textsf{n th term of the A.P:}

\mathsf{d(n)=a+(n-1)d}

\mathsf{d(n)=170+(n-1)(-85)}

\mathsf{d(n)=170-85\,n+85}

\implies\boxed{\mathsf{d(n)=255-85\,n}}

\textsf{which is the required explicit formula}

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