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Find the 12thterm from the end of the AP: -2, -4, -6,..., -100.

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The given AP : is $- 2, - 4, -6, $ \ldots $ $ \ldots $ . , - 100\\$

AP from end is $- 100, - 98$ \ldots $ $ \ldots $ $ \ldots $ .. 4, -6, -2\\$

$\\ a\textsubscript{1}= a = - 100\\ d = a\textsubscript{2} - a\textsubscript{1} = - 98 - (-100) = - 98 + 100 = 2\\ a\textsubscript{12} = a + (12 - 1).d (using a\textsubscript{n} = a + (n-1) \times d)\\ a\textsubscript{12} = - 100 + 11 \times (2)\\ a\textsubscript{12} = - 100 + 22\\ a\textsubscript{12} = - 78\\$

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