Question

If $\alpha$ and $\beta$ are the $\sf{p^{th}}$ and $\sf{q^{th}}$ terms of an AP , then show that the sum of first ( p + q ) terms of the AP is $\sf{\dfrac{1}{2} ( p + q ) \bigg( \alpha + \beta + \dfrac{\alpha-\beta}{p-q}\bigg) }$​

Answer 1

the $\sf{p^{th}}$ term of an AP is a and $\sf{q^{th}}$ term is b. prove tha sum of its (p+q) terms is p+q2 [a+b+a-bp-q]

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Answer 2

Step-by-step explanation:

the \sf{p^{th}}p

th

term of an AP is a and \sf{q^{th}}q

th

term is b. prove tha sum of its (p+q) terms is p+q2 [a+b+a-bp-q]