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If pth,qth and rth terms of an A.P. are ...

If pth,qth and rth terms of an A.P. are a, b, c respectively, then show that (i) a(q-r)+b(r-p)+c(p-q)=0

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If the pth, qth and rth terms of an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q) is :

The pth, qth and rth terms of an A.P. are a, b and c respectively. Show that a(q – r) + b(r-p) + c(p – q) = 0

If pth,qth,and rth terms of an A.P.are a,b,c, respectively,then show that (a-b)r+(b-c)p+(c-a)q=0

If the pth, qth and rth terms of a G.P. are a,b and c, respectively. Prove that a^(q-r)b^(r-p)c^(p-q)=1 .

If the pth, qth and rth terms of a G.P.are a,b,c respectively,prove that: a^((q-r))C()b^((r-p))dot c^((p-q))=1

If the p^(th), q^(th) and r^(th) terms of a G.P are a,b,c respectively then the value of a^(q-r).b^(r-p).c^(p-q)=

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If the pth, qth and rt terms of an A.P. be x,y,z respectively show that: x(q-r)+y(r-p)+z(p-q)=0

If the p^(th),q^(th) and r^(th) terms of a H.P.are a,b,c respectively,then prove that (q-r)/(a)+(r-p)/(b)+(p-q)/(c)=0

VK GLOBAL PUBLICATION-ARITHMETIC PROGRESSIONS -PROFICIENCY EXERCISE ( LONG ANSWER QUESTIONS )
  1. Find the sum of the integers between 100 and 200 that are divisible by...

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  2. Show that the sum of an AP whose first term is a, the second term b an...

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  3. Sum of the first p, q and r terms of an A.P are a, b and c, respectiv...

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  4. If the pth term of AP is 1/q and its q th term is 1/p show that sum of...

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  5. The sum of the first five terms of an AP is 55 and sum of the first te...

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

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  7. A sum of Rs 2700 is to be used to give eight cash prizes to students o...

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  8. Three hundred sixty bricks are stacked in the following manner: 30 bri...

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  9. Reshma repays her total loan of Rs 1,75,000 by paying every month sta...

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

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  11. A man saved Rs 200 during the first month, Rs 225 in the second month ...

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  12. A contract on construction job specifies a penalty for delay of comple...

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  13. A manufacturer of wire produced 1400 m wire in the 5 th year and 1600 ...

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  14. Find the middle term of the sequence formed by all three-digit numbers...

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  15. Find the sum of all the two digit numbers which are either multiples o...

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  16. Ramkali required Rs 2500 after 12 weeks to send her daughter to school...

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  17. An arithmetic progression 5, 12, 19,..., has 50 terms. Find its last t...

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  18. Find the middle term of the sequence formed by all numbers between 9 a...

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  19. The sums of n terms of three arithmetical progressions are S1, S2a n d...

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  20. If pth,qth and rth terms of an A.P. are a, b, c respectively, then sho...

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