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Arithmetic Progressions — MATHS STD 11 Science — Question

Gujarat 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, $a_n=x n+y$ Putting $n=1$, we get $a_1=x+y$ Putting $n=2$, get $a_2=2 x+y \therefore a_2-a_1=2 x+y-x-y=x \Rightarrow a_2$ - $a _1= x \therefore$ Common difference $= x$

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