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

3.9k Views Asked by At

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?