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For an AP, if (a4)/(a7)=2/3 , find a(6)...

For an AP, if `(a_4)/(a_7)=2/3 ` , find `a_(6)/(a_8)`

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Find the respective terms for the following Aps: (i) a_(1) =2, a_(3) = 26 find a_(2) (ii) a_(2) =13, a_(4) = 3 find a_(1), a_(3) (iii) a_(1) =5, a_(4) = -22 find a_(1),a_(3),a_(4),a_(5)

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Show that a_(1), a_(2) ,……, a_(n) …. Form an AP where a_(n) is defined as below: (i) a_(n) = 3 + 4n , (ii) a_(n) = 9-5n Also find the sum of the first 15 terms in each case.

In an AP : Give a = 7 , a_(13)= 35 , find d and S_(13) .

State whether each of the following statements is true or false : For an AP, if S_n= 5n^(2) - 3n , then a_(n) = 10n - 8

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If a_(1),a_(2),a_(3),"........",a_(n) are in AP with a_(1)=0 , prove that (a_(3))/(a_(2))+(a_(4))/(a_(3))+"......"+(a_(n))/(a_(n-1))-a_(2)((1)/(a_(2))+(1)/(a_(3))"+........"+(1)/(a_(n-2)))=(a_(n-1))/(a_(2))+(a_(2))/(a_(n-1)) .

For an A.P. If S_(30)= 1635 and a_(30)= 98 then find A.P.

KUMAR PRAKASHAN-ARITHMETIC PROGRESSION-TEST YOUR SKILLS
  1. Determine k so that k+2, 4k-6 and 3k-2 are three consecutive terms of...

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  2. Determine x so that x - 2 , 4x -1 and 5x + 2 are three consecutive ter...

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  3. For an AP, if (a4)/(a7)=2/3 , find a(6)/(a8)

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  4. A finite AP has 21 terms . The sum of 10th, 11th and 12th term is 129 ...

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  5. Determine k so that k^(2)+4k+8,2k^(2)+3k+6,3k^(2)+4k+4 , are three con...

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

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  7. The 26th , 11th and the last term of an AP are 0,3 and -1/5 respective...

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  8. How many three digit numbers are such that when divided by 7, leaves a...

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  9. If the 9th term of an AP is zero, prove that its 29th term is twice it...

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  10. Find the number of odd integers between 2 and 100 which are divisible ...

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  11. The sum of 5th and 7th terms of an AP is 52 and the 10th term is 46 . ...

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  12. Find the 20th term of the AP whose 3rd term is 7 and the 7 term exceed...

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  13. The first and the last term of an AP are 7 and 49 respectively. If th...

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  14. Find : Sum of those integers between 1 and 500 which are multiples...

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  15. Find : Sum of those integers from 1 to 500 which are multiples of ...

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  16. Find : Sum of those integers from 1 to 500 which are multiples of ...

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  17. The sum of first seven terms of an AP is 182. If its 4th and the 17th ...

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  18. If the sum of first n terms of an AP is 1/2 (3n^(2) + 7n) , then find ...

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  19. If Sn denotes the sum of first n terms of an AP, prove that S(12) = 3...

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  20. The ratio of the sum of first n terms of two APs is (7n + 1): (4n + 27...

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