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Determine the AP whose 3^(r d)term is 5 ...

Determine the AP whose `3^(r d)`term is 5 and the `7^(t h)`term is 9.

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To determine the arithmetic progression (AP) whose 3rd term is 5 and whose 7th term is 9, we can follow these steps: ### Step 1: Understand the formula for the nth term of an AP The nth term of an arithmetic progression can be expressed as: \[ T_n = A + (n - 1)d \] where: - \( A \) is the first term, - \( d \) is the common difference, ...
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NCERT ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. How many two–digit numbers are divisible by 3?

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  2. Which term of the AP : 21, 18, 15,... is - 81? Also, is any term 0? Gi...

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  3. Determine the AP whose 3^(r d)term is 5 and the 7^(t h)term is 9.

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  4. How many three–digit numbers are divisible by 7?

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  5. Two APs have the same common difference. The difference between their...

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  6. Which term of the AP: 3, 15, 27, 39, . . . will be 132 more than its 5...

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  7. The 17^(th) term of an AP exceeds its 10^(th) term by 7. Find the comm...

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  8. Find the 20^(t h)term from the last term of the AP : 3, 8, 13, . . , ...

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  9. Determine the AP whose third term is 16 and the 7^(t h)term exceeds th...

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  10. For what value of n, are the nth terms of two APs: 63, 65, 67, . . . ...

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  11. How many multiples of 4 lie between 10 and 250?

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  12. In a potato race, a bucket is placed at the starting point, which is ...

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  13. Subba Rao started work in 1995 at an annual salary of Rs 5000 and rec...

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  14. The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6t...

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  15. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 28...

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  16. Find the sum of first 51 terms of an AP whose second and third terms ...

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  17. Find the 31^(s t) term of an AP whose 11^(t h)term is 38 and the 16^(t...

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  18. A ladder has rungs 25 cm apart, (see Figure). The rungs decrease unif...

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  19. In an AP: given a=8,an=62,Sn=210 find n and d

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  20. Find the sums given below : (i) 7+10 1/2+14+...+84 (ii) 34+32+30+...+...

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