1.

Two APs have the same common difference. The difference between their `100^(t h)`terms is 100, what is the difference between their `1000^(t h)`terms?

Answer» `S_1:a_1,a_2.....d`
`S_2:b_1,b_2.....l`
`a_100-b_100=100`
`a_100=a+(100-1)d`
`=a+99d`
`b_100=b+(100-1)l`
`=b+99l`
`a_100-b_100=100`
`a-b=100`
=`a_1000-b_1000`
=`a+999d-b-999l`
=`a-b`=100


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