Tuesday, May 14, 2019

How to find the sum of the first 21 terms of an Arithmetic Progression(A.P)?


Question. If the sum of first $12$ terms of an A.P. is equal to to the sum of the first $18$ terms of the same A.P., find the sum of the first $21$ terms of the same A.P.




$a=$ first term



$d=$ difference




I know now, $2(2a + 11d) = 3(2a + 17d)$



hence, $2a + 29d = 0$ --> correction



How do I proceed from here?

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