Find the 8th term from the end of the AP

Question:

Find the $8^{\text {th }}$ term from the end of the AP $7,9,11, \ldots, 201 .$

Solution:

To find: $8^{\text {th }}$ term from the end

$d=9-7$

$d=2$

Also

$201=7+n \times 2-2$

$n=98$

So $8^{\text {th }}$ term from end will be

$7+90 \times 2$

$\Rightarrow 187$

 

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