InterviewSolution
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InterviewSolution
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The `p^(t h)`term of an A.P. is `a` and `q^(t h)`term is `b`Prove that the sum of its `(p+q)`terms is `(p+q)/2{a+b+(a-b)/(p-q)}dot` |
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Answer» `a_1+(p-1)d=a-(1)` `a_1+(q-1)d=b-(2)` subtracting equation 2 from 1 `a_1+pd-d-a_!-qd+d=a-b` `(p-q)d=a-b` `d=(a-b)/(p-q)` Sum of p+q terms `S=(p+q)/2[2a+(p+q-1)d]` `S=(p+q)/2[a+b+d]` `S=(p+q)/2[a+b+(a-b)/(p-q)]`. |
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