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For the AP -3, -7, -11, … can we find d...

For the AP ` -3, -7, -11, …` can we find directly `a_(30)-a_(20)` without actually finding `a_(30)` and `a_(20)` ? Give reason for your answer.

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`a_(30)-a_(20)` can be evaluated directly without actually finding `a_(30) and a_(20)` because the difference of any two terms of A.P. depends on the common difference only.
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NAGEEN PRAKASHAN-ARITHMETIC PROGRESSION-Problem From NCERT/exemplar
  1. An AP consists of 50 terms of which 3rd term is 12 and the last term ...

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  2. In the following A.P.'s, find the missing terms in the boxes.

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  3. The sum of the 4th and 8th terms of an AP is 24 and the sum of the ...

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  4. If the 2nd term of an AP is 13 and 5th term is 25, what is its 7th ter...

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  5. If the first term of an AP is -5 and the common difference is 2, then ...

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  6. The taxi fare after each km, when the fare is Rs. 15 for the first km ...

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  7. The 26th, 11th and the last terms of an AP are, 0, 3 and -(1)/(5),resp...

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  8. If the nth terms of the two AP's 9, 7, 5, … and 24, 21, 18, … are the ...

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  9. The first term of an AP is -5 and the last term is 45. If the sum of t...

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  10. The sum of the first five terms of an AP and the sum of the first seve...

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  11. The eighth term of an AP is half its second term and the eleventh term...

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  12. A sum of Rs 700 is to be used to give seven cash prizes to students...

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  13. A contract on construction job specifies a penalty for delay of com...

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  14. For the AP -3, -7, -11, … can we find directly a(30)-a(20) without ac...

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  15. Find the sum of two middle terms of the AP -4/3,-1,-2/3,-1/3,...,4(1/3...

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  16. The ratio of the 11th term to the 18th term of an AP is 2:3. Find the ...

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  17. Jaspal Singh repays his total loan of Rs. 118000 by paying every month...

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  18. An AP consists of 37 terms. The sum of the three middle most terms is ...

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  19. Find the sum of all the 11 terms of an AP whose middle most term is 30...

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  20. The students of a shool decided to beautifly the school on the annual ...

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