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Let {S}_{{n}} denote the sum of first {n} terms of an A.P. If
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Let denote the sum of first terms of an A.P. If then find the ratio

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Question 1
$$(3x^{2}+2x+9)^{10}a_{0}+a_{1}x+a_{2}x^{2}+..........+a_{20}x^{20}$$. Find $$\dfrac{a_{7}}{a_{13}}$$ :

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Question 2
If be an AP of non-zero terms , then

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Question 3
If are in A.P., then are also in A.P.

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Question 4
If in an A.P. the sum of terms is equal to and the sum of terms is equal to , then prove that the sum of terms is .

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Question Text
Let denote the sum of first terms of an A.P. If then find the ratio