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Arithmetic Progressions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsArithmetic Progressions1 Mark
Question
Write the common difference of an A.P. whose nth term is $xn + y.$
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Answer

We have,
$a_n = xn + y$
Putting $n =1$, we get
$a_1 = x + y$
Putting $n = 2$, get
$a_2 = 2x + y$
$\therefore$ $a_2 - a_1 = 2x + y - x - y$
$= x$
$\Rightarrow a_2 - a_1 = x$
$\therefore$ Common difference $= x$

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