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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.$ 4, 9, 14, ...$ is $254$?
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Answer

Which term of A.P. is$ 4, 9, 14, ...$ is $254$?
Let $n^{th}$​​​​​​​ term of A.P. be $254$
$\text{a}_\text{n}=\text{a}+(\text{n}-1)\text{d}$
$254=\text{n}-1)5$
$\therefore\text{n}=51$
$\therefore$ $51st$ twrm of the given A. P. is $254$.

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