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Arithmetic Progressions — MATHS STD 11 Science — Question

Rajasthan 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 nth term of A.P.be 0
Then, $​​\text{a}_\text{n}=0=​​\text{a}+(​​\text{n}-1)​​\text{d}$
$\text{a}_\text{n}=0=84+(​​\text{n}-1)(-4)$
$\therefore​​\text{n}=22$
$\therefore$ 22nd term of the given A.P. is 0.

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