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The 13^(th) term of an AP is 4 times its...

The `13^(th)` term of an AP is `4` times its `3^(rd)` term. If its `5^(th)` term is `16` then the sum of its first ten terms is

A

`150`

B

`175`

C

`160`

D

`135`

Text Solution

Verified by Experts

The correct Answer is:
B
`T_(13) = 4 xx T_(3) rArr a+12d = 4(a+2d) rArr 3a-4d = 0 " "…(i)`
`T_(5) = 16 rArr a +4d = 16 " ".. (ii)`
On solving (i) and (ii), we get a = 4 and d= 3
`S_(10) = (10)/(2)(2a +9d) = 5(2 xx 4 +9 xx 3) = 175`
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RS AGGARWAL-ARITHMETIC PROGRESSION-Multiple Choice Questions (Mcq)
  1. The 5th term of an AP is -3 and its common difference is -4. The sum o...

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

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

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

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  5. The sum of first 20 odd natural numbers is

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

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

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

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

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

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

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

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

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

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  15. (5+13+21+…+181)=?

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

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

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

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

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  20. The 8th term of an AP is 17 and its 14th term is 29. The common differ...

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