Find the 12th term from the end of the AP`-2, -4, -6, …, -100.` – InterviewSolution

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1.	Find the 12th term from the end of the AP`-2, -4, -6, …, -100.`
Answer» Given AP, `-2,-4,-6, …, -100` Here, first term (a)`=-2`, common difference (d)`=-4-(-2)= -2` and the last term (l)`= -100.` We know that, the `n`th term `a_(n)` of an AP from the end is `a_(n)=l-(n-1)d,` where `l` is the last term and d is the common difference. ` :. ` 12th term from the end, `a_(12)= -100-(12-1)(-2)` ` " " = -100+(11)/(2)= -100 +22= -78`. Hence, the 12th term from the end is `-78`

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