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If p times the pth term of an ap is equal to q times its qth term, show that the (p+q)th term of the AP is 0.

Posted by Riddhi Varshney 7 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Arun Goel 7 years, 5 months ago

The pth term of an AP is = a+(p-1)d

where a is the first term of the AP and d is the common difference

as pth term is equal to q therefore q=a+(p-1)d .....1

similarly qth term is equal to p

p=a+(q-1)d .......2

solve the two equations to get the value of a and d. It will come

a=p+q-1

d=-1

now (p+q)th term is =a+(p+q-1)d

put the values of a and d

=(p+q-1)+(p+q-1)(-1)

=(p+q-1)-(p+q-1)

=0

1Thank You

Suhel Khan 7 years, 8 months ago

It's in detail but I can understand you easily

2Thank You

ANSWER

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Posted by Kanika . 2 weeks, 1 day ago

CBSE > Class 10 > Mathematics