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The 24th term of an AP is twice its 10th...

The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term.

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To solve the problem step by step, we will start by using 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: \[ A_n = a + (n-1)d ...
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RS AGGARWAL-ARITHMETIC PROGRESSION-Exercise 5A
  1. The 4th term of an AP is 11. The sum of the 5th and 7th terms of this ...

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  2. The 9th term of an AP is -32 and the sum of its 11th and 13th terms is...

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  3. Determine the general term of an A.P. whose 7t h term is -1 and 16 ...

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  4. If 4 times the 4th term of an AP is equal to 18 times its 18th term th...

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  5. If 10 times the 10 t h term of an A.P. is equal to 15 times the ...

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  6. Find the common difference of an A.P. whose first term is 5 and the su...

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  7. The sum of the 2nd and the 7th terms of an AP is 30. If its 15th term ...

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  8. For what value of n, the nth terms of the arithmetic progressions 63, ...

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  9. The 17th term of AP is 5 more than twice its 8th term. If the 11th ter...

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  10. The 24th term of an AP is twice its 10th term. Show that its 72nd term...

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  11. The 19th term of an AP is equal to 3 times its 6th term. If its 9th te...

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  12. In an AP, the pth term is q and ( p +q) term is 0. Then, prove that i...

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  13. The first and the last terms of an A.P. are a\ a n d\ l respectively. ...

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  14. Find how many two-digit numbers are divisible by 6.

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

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

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  17. Find the number of natural numbers between 101 and 999 which are di...

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  18. In a flower bed, there are 43 rose plants in the first row, 41 in the ...

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  19. A sum of Rs. 2800 is to be used to award four prizes. If each prize af...

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  20. Find how many integers between 200 and 500 are divisible by 8.

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