Class 10 Maths · Arithmetic Progressions · NCERT Exercise 5.4 · Question 7

Arithmetic Progressions Hard

Show that the sum of an AP whose first term is

a

, the second term

b

and the last term

c

, is equal to

\frac{( a + c ) ( b + c - 2 a )}{2 ( b - a )}

Answer

S = \frac{( a + c ) ( b + c - 2 a )}{2 ( b - a )}

, hence proved.

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