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The 5th term of an AP is -3 and its comm...

The 5th term of an AP is -3 and its common difference is -4. The sum of its first 10 terms is

A

50

B

`-50`

C

30

D

`-30`

Text Solution

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The correct Answer is:
B
`a+4d = -3 "and" d = -4`. So, a = 13
`therefore S_(10) = (10)/(2) [2a +9d] = 5 [2 xx 13 + 9xx (-4)] = -50`
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RS AGGARWAL-ARITHMETIC PROGRESSION-Multiple Choice Questions (Mcq)
  1. The sum of the first n terms of an A.P. is 4n^2+2n . Find the n ...

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  2. The 7th term of an AP is -1 and its 16th term is 17. The nth term of t...

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

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

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

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

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  7. The sum of first 20 odd natural numbers is

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

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

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

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

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

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

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

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

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

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  17. (5+13+21+…+181)=?

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

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

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

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