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In an ap the p th term is q and the (p+q)th term is zero find the q th term |
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Answer» <P>Answer: 1 Step-by-step EXPLANATION: What would you like to ask? MATHS avatar Asked on October 15, 2019 by Iksha Vïvəķ In a H.P. pth term is q and qth term is p. Then the pqth term is
Share Study later VIDEO EXPLANATION ANSWER Solution: Given that: t p
=q,t q
=p To FIND: t pq
=? Solution: LET, a be first term and d is common difference of an A.P. t p
=q⟹ a+(p−1)d 1
=q⟹a+(p−1)d= q 1
............(i) and t q
=p⟹ a+(q−1)d 1
=p⟹a+(q−1)d= p 1
.................(ii) Subtracting EQUN (ii) from (i), we get (p−q)d= q 1
− p 1
⟹(p−q)d= pq p−q
or, d= pq 1
Putting value of d in eqn(i), we get a= pq 1
Now, t pq
= a+(pq−1)d 1
= pq 1
+(pq−1) pq 1
1
= 1+pq−1 pq
= pq pq
=1 Hence, C is the correct option. |
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