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The sum of the 4th and 8th terms of an A...

The sum of the 4th and 8th terms of an AP is 24 and the sum of its 6th and 10th terms is 44. Find the first terms of the AP.

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To solve the problem step by step, we will use the properties of an Arithmetic Progression (AP). ### Step 1: Define the terms of the AP Let the first term of the AP be \( A \) and the common difference be \( D \). The \( n \)-th term of an AP can be expressed as: \[ T_n = A + (n-1)D ...
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RS AGGARWAL-ARITHMETIC PROGRESSION-Multiple Choice Questions (Mcq)
  1. The sum of the 4th and 8th terms of an AP is 24 and the sum of its 6th...

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  2. The common difference of the AP (1)/(p), (1-p)/(p), (1-2p)/(p),…. Is

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  3. The common difference of the AP (1)/(3), (1-3b)/(3), (1-6b)/(3),… is

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  4. The next term of the AP sqrt(7), sqrt(28), sqrt(63),… is

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  5. If 4, x(1), x(2), x(3), 28 are in AP then x(3) = ?

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  6. If the nth term of an AP is (2n +1) then the sum of its first three te...

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  7. The sum of first n terms of an AP is (3n^(2) + 6n). The common differe...

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  8. The sum of first n terms of an AP is (5n - n^(2)). The nth term of the...

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  9. The sum of the first n terms of an A.P. is 4n^2+2n . Find the n ...

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

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

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

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

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

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  15. The sum of first 20 odd natural numbers is

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

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

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

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

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

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

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