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| 1. |
The p Term of an a.p. is q and q term of a.p. is p . Find its p+q tetm |
| Answer» ap=a+(p-1)d=q ................. iaq=a+(q-1)d=p...................iisubtracting ii\xa0from i ( ii - i)(q-1 -p+1)d=p - q(q-p)d=p - qd=p - q / -(p - q) d = - 1\xa0adding i and ii (i + ii)2a+(p-1+q-1) (-1)=p+q2a+(-p-q+2)=p+q2a-p-q+2=p+q2a=2(p+q-1)a = p+q-1tp+q\xa0=a+(p+q-1)d ......... iii putting the values of a and d in iii\xa0tp-q = p+q-1 + (p+q-1)(-1) = p+q-1-p-q+1 = 0p+q term =0\xa0 | |