two aps have the same common difference . the difference between their 100 terms is 111 222 333 . what is the difference between their millionth terms ?
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T100-t100=111222333
A+(100-1)d-[a+(100-1)d]=111222333
A+99d-a-99d=111222333
A-a=111222333...........(1)
According to the question,
T1000000-t1000000
A+(1000000-1)d-[a+(1000000-1)d]
A+999999d-a-999999d
A-a
From,(1)
A-a=111222333
difference between their millionth terms =111222333
A+(100-1)d-[a+(100-1)d]=111222333
A+99d-a-99d=111222333
A-a=111222333...........(1)
According to the question,
T1000000-t1000000
A+(1000000-1)d-[a+(1000000-1)d]
A+999999d-a-999999d
A-a
From,(1)
A-a=111222333
difference between their millionth terms =111222333
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