8. If the sum of an AP is the same for p terms as for q terms, then find out the sum for (p+q) terms? (a) 2 (b) 0 (c) 4 (d) None of these None of these

Solution

Share

86

4.0 (1 ratings)

Download App for Answer

Iet IsHerm = a [ begin{array}{c} text { common diff }=d text { Sum of frst Pterms }=frac{P}{2}(29+(R-1) d) ldots(1) end{array} ] and sumof furst q tems ( =frac{q}{2}(29+(9-1) d)--(2) ) According to ques. [ begin{array}{l} quad P(2 a+(p-1) d)=frac{q}{2 a(p-q)-d{q(q-1)-P(p-1)=0} 2 a(p-q)-dleft[q^{2}-p^{2}+(p-q)right]=0 (p-q)(2 a+d(p+q-1)]=0 2 a+d(p+q-1)=0 quad[sin (e p eq a) ldots end{array} ] Now the sum of ( 6 mathrm{r} 1+cdot(mathrm{P}+mathrm{a}) ) terms ( 1 mathrm{S} ) [ frac{p+q}{2}(2 a+(p+q-1) d]=0 ] ( therefore quad ) Ans ( rightarrow 0 ) opton

86

4.0 (1 ratings)

Rate Solution

Share