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If the common difference of an AP is 5, ...

If the common difference of an AP is 5, then what is `a_(18)-a_(13)` ?

A

5

B

20

C

25

D

30

Text Solution

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The correct Answer is:
C
Given, the common difference of AP i.e., `d=5`
Now, `a_(18)-a_(13)=a+(18-1)d-[a+(13-1)d] " " [ :' a_(n)=a+(n-1)d]`
` " " =a+17xx5-a-12xx5`
` " " =85-60=25`
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NCERT EXEMPLAR-ARITHMETIC PROGRESSIONS-Arithmetic Progressions
  1. If the 2nd term of an AP is 13 and 5th term is 25, what is its 7th ter...

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  2. Which term of an AP : 21, 42, 63, 84, … is 210 ?

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  3. If the common difference of an AP is 5, then what is a(18)-a(13) ?

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  4. What is the common difference of an AP in which a(18)-a(14)=32?

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  5. Two APs have the same common difference. The first term of one of the...

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  6. If 7 times the 7th term of an AP is equal to 11 times its 11th term, t...

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  7. The 4th term from the end of an AP -11, -8, -5, …, 49 is

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  8. The famous mathematician associated with finding the sum of the first ...

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

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  10. The sum of first 16 terms of the AP 10, 6, 2, … is

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  11. In an AP, if a = 1, a(n)= 20 and S(n) = 399, then n is equal to

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  12. The sum of first five multiples of 3 is

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  13. Which of the following form of an AP ? Justify Your answer. (i) -1,-...

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  14. Justify whether it is true to say that -1, (-3)/(2), -2, (5)/(2), … ...

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

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  16. Two A.P have the same common difference. The first term of one A.P is ...

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  17. Is 0 a term of the AP 31, 28, 25, …? Justify your answer.

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

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  19. In which of the following situations, do the lists of numbers involved...

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  20. Justify whether it is true to say that the following are the nth terms...

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