If the sum of n terms of an A-P- is p n-q n2- where p and q are constants- find the common difference-

It is known that, According to the given condition, Comparing the coefficients of n2 on both sides, we obtain ∴ d = 2 q Thus, the common difference of the A. ...

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Standard XII

Mathematics

Higher Order Derivatives

If the sum of...

Question

If the sum of n terms of an A.P. is (pn + qn²), where p and q are constants, find the common difference.

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Solution

It is known that,

According to the given condition,

Comparing the coefficients of n² on both sides, we obtain

∴ d = 2 q

Thus, the common difference of the A.P. is 2q.

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If the sum of n terms of an A.P. is (pn + qn2), where p and q are constants, find the common difference.

It is known that, According to the given condition, Comparing the coefficients of n2 on both sides, we obtain ∴ d = 2 q Thus, the common difference of the A.P. is 2q.

If the sum of n terms of an A.P. is (pn + qn²), where p and q are constants, find the common difference.

It is known that,

According to the given condition,

Comparing the coefficients of n² on both sides, we obtain

∴ d = 2 q

Thus, the common difference of the A.P. is 2q.