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The 5th term of an AP is 20 and the sum ...

The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 64. The common difference of the AP is

A

4

B

5

C

3

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
`T_(50) = 20 rArr a + 4d = 20 " "…(i)`
`(T_(7) +T_(11)) = 64 rArr (a+6d) + (a+10d) = 64 rArr a +8d = 32 " "…(ii)`
On solving (i) and (ii), we get d = 3.
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RS AGGARWAL-ARITHMETIC PROGRESSION-Multiple Choice Questions (Mcq)
  1. The 7th term of an AP is -1 and its 16th term is 17. The nth term of t...

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  2. The 5th term of an AP is -3 and its common difference is -4. The sum o...

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  3. The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 6...

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  4. The 13^(th) term of an AP is 4 times its 3^(rd) term. If its 5^(th) te...

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  5. An AP 5, 12, 19, … has 50 terms. Its last term is

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  6. The sum of first 20 odd natural numbers is

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  7. The sum of first 40 positive integers divisible by 6 is

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  8. How many two -digit numbers are divisible by 3?

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  9. How many three-digit numbers are divisible by 9?

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

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  11. If a(n) denotes the nth term of the AP 3, 18, 13, 18,… then what is th...

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  12. Which term of the AP 72, 63, 54, … is 0?

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  13. Which term of the AP 25, 20, 15,…. Is the first negative term?

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  14. Which term of the AP 21, 42, 63, 84,.. Is 210?

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  15. What is 20th term from the end of the AP 3, 8, 13, …, 253?

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  16. (5+13+21+…+181)=?

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

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  18. How many terms of the AP 3, 7, 11, 15,…. Will make the sum 406?

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  19. The 2nd term of an AP is 13 and its 5th term is 25. What is its 17th t...

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  20. The 17th term of an AP exceeds its 10th term by 21. The common differe...

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