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For what value of n are the nth terms of...

For what value of n are the nth terms of two AP :63,65,67,…..and 3,10,17,….equal?

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for what value of n the n term of two Ap's 63, 65, 67,..... and 3, 10, 17,..... are equal? Also find this term.

for for what values of n are the n term of the following two ap is the same 13 19,25,..... and 69,68,67,....,? Also find this term

For what value of p are 2p+1 ,13, 5p-3 three consecutive terms of an A.P.

If the sum to n terms of the A.P.-9,-1,7, ... is 2175, find n.

For what value of k the following equations will have real and equal roots x^2 -2(1 + 3k) x + 1 + 7k = 0 .

For what value of k the following equations will have (a)two unequal roots, (b)no solution, (c)equal roots. kx^2 - 6kx + 2 = 0 .

For what value of k the following equations will have (a)two unequal roots, (b)no solution, (c)equal roots. x^2 + 3kx + 4k = 0 .

For what value of k the following equations will have (a)two unequal roots, (b)no solution, (c)equal roots. x^2+ (k - 2)x + 2k + 1 = 0 .

For what value of k the following equations will have (a)two unequal roots, (b)no solution. x^2 + 3x + k = 0 .

If S_n denotes the sum of the first n terms of an AP and if S_2n=3S_n then S_3n:S_n is equal to

R G PUBLICATION-ARITHMETIC PROGRESSION-EXERCISE
  1. How many three-digit numbers are divisible by 7?

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  2. How many muliples of 4 lie between 10 and 250?

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  3. For what value of n are the nth terms of two AP :63,65,67,…..and 3,10,...

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  4. Determine the AP whose third term is 16 and the 7th term exceeds the 5...

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  5. Find the 20th term from the last term of the AP:3,8,13,….243.

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

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  7. Subba Rao started work in 1995 at an annual salary of ₹ 5000 and recei...

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  8. Ramkali saved ₹ 5 in the first week of a year and then increased her w...

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  9. Find the sum of the following AP s:(i) 2,7,12,…..to 10 terms.

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  10. Find the sum of the following AP s:(ii)-37,-33,-29,…..to 12 terms.

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  11. Find the sum of the following AP s:(iii)0.6,1.7,2.8,….to 100 terms

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  12. Find the sum of the following AP s:(iv)1/15,1/12,1/10,……to 12 terms.

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  13. Find the sums given below :(i)7+10(1/2)+14+…..+84

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  14. Find the sums given below :(ii)34+32+30+….+10

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  15. Find the sums given below :(iii)-5+(-8)+(-11)+…..+(-230)

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  16. In an AP:(i) given a=5,d=3,an=50,find n and Sn

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  17. In an AP:(ii) given a=7,a13=35,find d and S13.

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  18. In an AP:(iii) given a12=37,d=3,find a and S12.

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  19. In an AP:(iv)given a3=15,S10=125,find d and a10

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  20. In an AP:(v) given d=5,S9=75,find a and a9.

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