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Two APs have the same common difference....

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?

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`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`
...
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NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
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  2. How many three–digit numbers are divisible by 7?

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  3. Two APs have the same common difference. The difference between their...

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  4. Which term of the AP: 3, 15, 27, 39, . . . will be 132 more than its 5...

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  5. The 17^(th) term of an AP exceeds its 10^(th) term by 7. Find the comm...

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  6. Find the 20^(t h)term from the last term of the AP : 3, 8, 13, . . , ...

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  7. Determine the AP whose third term is 16 and the 7^(t h)term exceeds th...

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  8. For what value of n, are the nth terms of two APs: 63, 65, 67, . . . ...

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  9. How many multiples of 4 lie between 10 and 250?

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  13. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 28...

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  14. Find the sum of first 51 terms of an AP whose second and third terms ...

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  15. Find the 31^(s t) term of an AP whose 11^(t h)term is 38 and the 16^(t...

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  16. A ladder has rungs 25 cm apart, (see Figure). The rungs decrease unif...

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  17. In an AP: given a=8,an=62,Sn=210 find n and d

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  18. Find the sums given below : (i) 7+10 1/2+14+...+84 (ii) 34+32+30+...+...

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  19. Find the sum of the following APs : (i) 2, 7, 12, . . . , to 10 terms...

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  20. Find the sum of first 22 terms of an AP in which d=l and 22nd term is ...

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