Math, asked by DiyaDiu16, 1 year ago

Two AP have the same common difference. The difference between their 100th terms is 100. What is he difference between their 1000th terms ?

help me guesss!! because my maths exam is near ! plz

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Answers

Answered by edwinbinoy48

Answer:

Step-by-step explanation:

Attachments:

DiyaDiu16: thx

Answered by Paritshith

Answer:

Step-by-step explanation:

Let the common difference of both the A.P.’s = d

and First term of Ist A.P. = a1

also first term of 2nd A .P. = a2

Then, 100th term of 1st A .P. = a1+99d

100th term of 2nd A .P. = a2+99d

Difference between their 100th term = 100 (given)

⇒ (a1+99d) – (a2+99d) = 100

⇒ a1–a2 = 100 ...(i)

Now, a1000 of Ist A.P. = a1+999d

and a1000 of Ilnd A .P. = a2+999d

Hence, difference between their 1000th terms

= (a1+999d) (a2+999d) = a1–a2

We know that a1–a2 = 100

So the difference between their 1000th terms = 100

Hope this helps you

All the best for your exam

DiyaDiu16: thx

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