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Algebraic Expressions as Pattern

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If the first term second and last terms of an A.P are a b and c respectively then prove that their sum is equal to (c+a)(b+c-2a)/b-a

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Q. If first term of an A.P. is

a

, second term is

b

and last term is

c

, then show that sum of all terms is

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

Show that the sum of a A.P. whose first term is 'a', the second term is 'b' and the last term is 'c', is equal to (a+c)(b+c-2a)/2(b-a)

Q. If first term of an A.P. is

a

, second term is

b

and the last term is

c

, than show that the sum of all term is

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

Q. The sum of an A.P. whose first term is a, second term is b and the last term is c is equal to

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

.

Q. If the first, second and the last terms of an A.P. are

a, b, c

respectively, then the sum is

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