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●Two APS have the same common …

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●Two APS have the same common difference the difference between there 100th term is 100 ,what is the difference between their 1000th terms?

Posted by Sumit Gupta 5 years, 5 months ago

CBSE > Class 10 > Mathematics

5 answers

Lucifer?? Morningstar?? 5 years, 5 months ago

Give my answer

Lucifer?? Morningstar?? 5 years, 5 months ago

a1000–A1000 = a+999d–A-999d = a-A=100 using eq(1)

? Pranali.A.P ? 5 years, 5 months ago

Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms? BE/BTech at Thapar Institute of Engineering & Technology. 100 Solution Let the difference be d And the first term of AP1 be a1 And AP 2 be a2 100th term of AP1 is a1+99d……(.1) 100th term of AP2 is a2+99d……(2) As per ques eq1 - eq2=100 i.e a1-a2=100 Now 1000th term of AP1 is a1+999d……(.3) 1000th term of AP2 is a2+999d……(4) Eq3-eq4=100 i.e a1-a2=100 So answer remains constant=100

? Pranali.A.P ? 5 years, 5 months ago

Answer is 100

Lucifer?? Morningstar?? 5 years, 5 months ago

Let the first term be a and A of two APs respectively. a100–A100=100=> a+99d–A–99d=100 => a–A=100...(1)

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