Math Problem Statement
. The first term of an A.P. is a, the second term is b and the last term is c Show that the sum of the A.P. is (b+c-2a)(c+a)/2(b-a)
Solution
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Math Problem Analysis
Mathematical Concepts
Arithmetic Progression
Sum of an A.P.
Common Difference
Series
Formulas
nth term of an A.P.: T_n = a + (n-1)d
Sum of n terms of an A.P.: S_n = (n/2) × (a + l)
Common difference: d = b - a
Theorems
Formula for the sum of an arithmetic progression
Suitable Grade Level
Grades 9-12
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