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Write down the sequence whose nth term i...

Write down the sequence whose nth term is `2^n//n` and (ii) `[3+(-1)^n]//3^n`

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Show that the sequence 9, 12, 15, 18, ... is an A.P. Find its 16th ...

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  2. A sequence of integers a1+a2+......+an satisfies a(n+2)=a(n+1)-an fo...

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  3. Write down the sequence whose nth term is 2^n//n and (ii) [3+(-1)^n]/...

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  4. Write the first three terms of the sequence defined by a1= 2,a(n+1)=(2...

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  5. Find the sequence of the numbers defined by an={1/n , when n is odd...

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  6. Find the sum of n terms of the sequence (an),w h e r e an=5-6n ,n in ...

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  7. Show that the sequence loga ,log(a b),log(a b^2),log(a b^3), is an A.P...

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  8. Find the sum of the following series: 1/2+1/(3^2)+1/(2^3)+1/(3^4)+1/(...

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  9. Consider two A.P.: S2:2,7,12 ,17 , 500 terms a n dS1:1,8,15 ,22 , 300 ...

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  10. If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, the...

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  11. The sum of the first four terms of an A.P. is 56. The sum of the last ...

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  12. Given two A.P. 2,5,8,11...... T(60) and 3,5,7,9,......... T(50)dot Th...

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  13. In a certain A.P., 5 times the 5th term is equal to 8 times the 8th ...

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  14. Find the term of the series 25 ,22 3/4,20 1/2,18 1/4 which is numeric...

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  15. How many terms are there in the A.P. 3, 7, 11, ... 407?

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  16. If a ,b ,c ,d ,e are in A.P., the find the value of a-4b+6c-4d+edot

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  17. If (b+c-a)/a ,(c+a-b)/b ,(a+b-c)/c , are in A.P., prove that 1/a ,1/b ...

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  18. If a ,b ,c in R+ form an A.P., then prove that a+1//(b c),b+(1//a c),...

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  19. Find the degree of the expression (1+x)(1+x^6)(1+x^(11))........(1+x^(...

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  20. In an A.P. of 99 terms, the sum of all the odd-numbered terms is 2550....

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