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If a(1), a(2), a(3) , … are in A.P. , su...

If `a_(1), a_(2), a_(3) , …` are in A.P. , such that ` a_(1) + a_(5) +a_(10) `
` + a_(15) + a_(20) + a_(24) = 225 , " then" a_(1) + a_(2) +a_(3) +…+ `
`a_(24)` is equal to

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If a_(1),a_(2),a_(3),………. are in A.P. such that a_(1) + a_(5) + a_(10) + a_(15) + a_(20) + a_(24) = 225, then a_(1) + a_(2) + a_(3) + …… a_(23) + a_(24) =

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If a_(1), a_(2), a_(3) ,... are in AP such that a_(1) + a_(7) + a_(16) = 40 , then the sum of the first 15 terms of this AP is

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It a_(1) , a_(2) , a_(3) a_(4) be in G.P. then prove that (a_(2)-a_(3))^(2) + (a_(3) - a_(1))^(2) + (a_(4) -a_(2))^(2) = (a_(1)-a_(4))^(2)

( 1 + x + x^(2))^(n) = a_(0) + a_(1) x + a_(2) x^(2) + …+ a_(2n) x^(2n) , then a_(0) + a_(1) + a_(2) + a_(3) - a_(4) + … a_(2n) = .

STATEMENT-1 : If a, b, c are in A.P. , b, c, a are in G.P. then c, a, b are in H.P. STATEMENT-2 : If a_(1) , a_(2) a_(3) ……..a_(100) are in A.P. and a_(3) + a_(98) = 50 " then" a _(1) + a_(2) +a_(3) + ….+ a_(100) = 2500 STATEMENT-3 : If a_(1) , a_(2) , ....... ,a_(n) ne 0 then (a_(1) + a_(2)+ a_(3) + .......+ a_(n))/(n) ge (a_(1) a_(2) .........a_(n) )^(1//n)

If a_(1),a_(2)a_(3),….,a_(15) are in A.P and a_(1)+a_(8)+a_(15)=15 , then a_(2)+a_(3)+a_(8)+a_(13)+a_(14) is equal to

Let a_(1), a_(2), a_(3) , … be a G. P. such that a_(1)lt0 , a_(1)+a_(2)=4 and a_(3)+a_(4)=16 . If sum_(i=1)^(9) a_(i) = 4lambda , then lambda is equal to :

Let a_(1),a_(2),a_(3),….,a_(4001) is an A.P. such that (1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))+...+(1)/(a_(4000)a_(4001))=10 a_(2)+a_(4000)=50 . Then |a_(1)-a_(4001)| is equal to

NAGEEN PRAKASHAN ENGLISH-ARITHMETIC PROGRESSION-Exercise 5c
  1. Find the value of 'x' if 1+6+11+...+x=189

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  2. (a) Find the sum of first 200 even natural numbers. (b) Find the sum...

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  3. Find the sum of n terms of an A.P. whose nth term is (2n+1).

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  4. The sum of n terms of a series is n(n+1) . Prove that it is an A.P. al...

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  5. The sum of n terms of a series is (3n^(2)+2n). Prove that it is an A.P...

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  6. The sum of first 5 terms and first 15 terms of an A.P. are equal. Fin...

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  7. The sum of first 8 terms and first 24 terms of an A.P. are equal. Find...

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  8. The sum of15 terms of an A.P. is zero and its 4th term is 12. Find its...

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  9. The sum of first 8 terms of an A.P. is 64 and that of first 15 terms i...

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  10. If the m^(t h) term of an A.P. is 1/n and the n^(t h) terms is 1/m , s...

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  11. If a(1), a(2), a(3) , … are in A.P. , such that a(1) + a(5) +a(10) ...

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  12. The first term, last term and common difference of an A.P. are respect...

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  13. If S(n) denotes the sum of first n terms of an AP, then prove that S(1...

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  14. Yasmeen saves Rs. 32 during the first month, Rs. 36 in the second mont...

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

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  16. 200 logs are stacked in the following manner: 20 logs in the bottom ...

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  17. The ratio of the sum of n terms of two A.P. s is (7n+1):(4n+27) . Fin...

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

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  19. The famous mathematician associated with finding the sum of the first ...

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  20. If S1 is the sum of an arithmetic progression of ' n ' odd number ...

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