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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 the 6th and 10th terms is 44. Find the first three terms of the AP.

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To solve the problem step by step, let's denote the first term of the arithmetic progression (AP) as \( a \) and the common difference as \( d \). ### Step 1: Write the expressions for the terms. The \( n \)-th term of an AP can be expressed as: \[ a_n = a + (n-1)d \] Thus, we can write: ...
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If sum of the 3rd and the 8th terms of an AP is 7 and the sum of the 7th and 14th terms is -3 , then find the 10th term.

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NAGEEN PRAKASHAN ENGLISH-ARITHMETIC PROGRESSION-Problem From NCERT/exemplar
  1. An AP consists of 50 terms of which 3rd term is 12 and the last term ...

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  2. In the following A.P.'s, find the missing terms in the boxes.

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  3. The sum of the 4th and 8th terms of an AP is 24 and the sum of the ...

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  4. If the 2nd term of an AP is 13 and 5th term is 25, what is its 7th ter...

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  5. If the first term of an AP is -5 and the common difference is 2, then ...

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  6. The taxi fare after each km, when the fare is Rs. 15 for the first km ...

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  7. The 26th, 11th and the last terms of an AP are, 0, 3 and -(1)/(5),resp...

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  8. If the nth terms of the two AP's 9, 7, 5, … and 24, 21, 18, … are the ...

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  9. The first term of an AP is -5 and the last term is 45. If the sum of t...

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  10. The sum of the first five terms of an AP and the sum of the first seve...

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  11. The eighth term of an AP is half its second term and the eleventh term...

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  12. A sum of Rs 700 is to be used to give seven cash prizes to students...

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  13. A contract on construction job specifies a penalty for delay of com...

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  14. For the AP -3, -7, -11, … can we find directly a(30)-a(20) without ac...

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  15. Find the sum of the two middle most terms of an AP -(4)/(3), -1, -(2)/...

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  16. The ratio of the 11th term to the 18th term of an AP is 2 : 3. Find th...

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  17. Jaspal Singh repays his total loan of Rs. 118000 by paying every month...

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  18. An AP consists of 37 terms. The sum of the three middle most terms is ...

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  19. Find the sum of all the 11 terms of an AP whose middle most term is 30...

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  20. The students of a shool decided to beautifly the school on the annual ...

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