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Show that the Following Sequence is an A.P. Also Find the Common Difference and Write 3 More Terms in Case. 9, 7, 5, 3, ...

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Question

Show that the following sequence is an A.P. Also find the common difference and write 3 more terms in case. 

9, 7, 5, 3, ...

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Solution

\[\text { We have }: \]

\[ 7 - 9 = - 2\]

\[5 - 7 = - 2\]

\[3 - 5 = - 2\]

\[\text { Thus, the sequence is an A . P . with the common difference being } ( - 2) . \]

\[\text { The next three terms are as follows }: \]

\[3 - 2 = 1\]

\[1 - 2 = - 1\]

\[ - 1 - 2 = - 3\]

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Chapter 19: Arithmetic Progression - Exercise 19.1 [Page 4]

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R.D. Sharma Mathematics [English] Class 11
Chapter 19 Arithmetic Progression
Exercise 19.1 | Q 6.4 | Page 4

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