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, ... - Mathematics

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, ...

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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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 19 Arithmetic Progression
Exercise 19.1 | Q 6.4 | Page 4