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Sum of N Terms of an AP

Find the 11...

Question

Find the $11^{t h}$ term form last of $A P$ $27, 23, 19.. - 65$

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Solution

$a = 27$ $d = 23 - 27 = - 4$
$a_{11} = a + (11 - 1) d$
$a_{11} = 27 + 10 (- 4)$
$a_{11} = - 13$

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