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Arithmetic Progressions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsArithmetic Progressions2 Marks
Question
Which term of the A.P. $84, 80, 76, ...$ is $0$?
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Answer

Which term of A.P. $84, 80, 76,$ is $0$?
Let $n^{th}$​​​​​​​ term of A.P.be $0$
Then, $​​\text{a}_\text{n}=0=​​\text{a}+(​​\text{n}-1)​​\text{d}$
$\text{a}_\text{n}=0=84+(​​\text{n}-1)(-4)$
$\therefore​​\text{n}=22$
$\therefore$ $22\ nd$ term of the given A.P. is $0$.

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