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Find three numbers a,b,c between 2 & 18 such that; their sum is 25; the numbers 2,a,b are consecutive terms of an AP & the numbers b,c,18 are consecutive terms of a G.P.

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Find three numbers a, b,c between 2 & 18 such that; O their sum is 25 @ the numbers 2, a, b are consecutive terms of an AP & Q.3 the numbers b?c?18 are consecutive terms ofa GP

Find three numbers a, b, c between 2 and 18 such that: (i) their sum is 25, and (ii) the numbers 2, a, b are consecutive terms of an arithmetic progression, and (iii) the numbers b, c, 18 are consecutive terms of a geometric progression.

If 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an A.P., prove that a ,b ,c are the three consecutive terms of a G.P.

If (1)/(x+y), (1)/(2y) , (1)/(y+z) are the three consecutive terms of an A.P. prove that x ,y,z are the three consecutive terms of a G.P.

The sum of three consecutive even numbers is 48. Find the numbers.

The sum of the squares of three consecutive natural numbers is 77. Find the numbers.

The sum of two consecutive numbers is 53. Find the numbers.

If 4/5,\ a ,\ 2 are three consecutive terms of an A.P., then find the value of a .

The sum of three consecutive odd numbers is 57. Find the numbers.

The sum of the squares of three consecutive natural numbers is 149. Find the numbers.

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

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  2. How many geometric progressions are possible containing 27, 8 and 12 a...

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  3. Find three numbers a,b,c between 2 & 18 such that; their sum is 25; th...

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  4. Find the sum 1+2(1+1/50)+3(1+1/50)^(2)+…50 terms.

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  5. The sum of 50 terms of the series 3/(1^2)+5/(1^2+2^2)+7/(1^2+2^2+3^2)+...

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  6. If a1, a2, an are in A.P. with common difference d!=0 , then the sum ...

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  7. The sum of the series a-(a+d)+(a+2d)-(a+3d)+... up to (2n+1) terms is:...

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  8. If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmet...

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  9. If a ,ba n dc are in A.P., and pa n dp ' are respectively, A.M. and ...

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  10. Find the sum 3/(1xx2)xx1/2+4/(2xx3)xx(1/2)^2+5/(3xx4)xx(1/2)^2+ ton te...

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  11. If the sum of n terms of the series (2n+1)/(2n-1)+3((2n+1)/(2n-1))^...

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  12. Let x=1+3a+6a^2+10 a^3+ ,|a|<1. y=1+4b+10 b^2+20 b^3+ ,|b|<1. Find S...

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  13. If the first and the nth terms of a G.P are a and b , respectively, an...

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  14. Along a road lie an odd number of stones placed at intervals of 10 met...

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  15. Find a three – digit number such that its digits are in increasing G.P...

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  16. If the terms of the A.P, sqrt(a-x),sqrt(x),sqrt(a+x) are all in integ...

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  17. For a ,x ,>0 prove tht at most one term of the G.P. sqrt(a-x),sqrt(x),...

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  18. If 1/(1^2)+1/(2^2)+1/(3^2)+ .......=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/...

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  19. Coefficient of x^(18) in (1+x+2x^2+3x^3++18 x^(18))^2 equal to 995 b. ...

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  20. Let alphaa n dbeta be the roots of x^2-x+p=0a n dgammaa n ddelta be th...

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