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Find the sum of the products of the corr...

Find the sum of the products of the corresponding terms of the sequences `2,4,8, 16 , 32\ a n d\ 128 , 32 ,8,2,1/2\ dot`

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To find the sum of the products of the corresponding terms of the sequences \(2, 4, 8, 16, 32\) and \(128, 32, 8, 2, \frac{1}{2}\), we can follow these steps: ### Step 1: Identify the sequences The first sequence is: \[ a_1 = 2, \quad a_2 = 4, \quad a_3 = 8, \quad a_4 = 16, \quad a_5 = 32 \] The second sequence is: ...
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. Find a G.P. for which sum of the first two terms is -" "4 and the f...

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  2. The sum of some terms of a G.P. is 315 whose first term and the common...

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  3. Find the sum of the products of the corresponding terms of the sequ...

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  4. if S is the sum , P the product and R the sum of reciprocals of n term...

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  5. A person writes a letter to four of his friends. He asks each one of ...

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  6. If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N suc...

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  7. Find the natural number a for which sum(k=1)^nf(a+k)=16(2^n-1), where...

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  8. Find the sum of the following geometric progression: 2,6,18… to 7 term...

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  9. Find the sum of the following geometric progression: 1,3,9,27,… to 8 ...

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  10. Find the sum of the following geometric progression: 1,\ -1//2,\ 1//4,...

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  11. Find the sum of the following geometric progression: (a^2-b^2),\ (a-b)...

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  12. Find the sum of the following geometric progression: 4,2,1,1//2, ........

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  13. Find the sum of the following geometric series: 0. 15+0. 015+0. 0015+ ...

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  14. Find the sum of the following geometric series: \ sqrt(2)-1/(sqrt(2))+...

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  15. Find the sum of the following geometric series:2/9-1/3+1/2-3/4+ to 5 ...

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  16. Find the sum of n terms of series (x+y) + (x^2+ xy +y^2)+(x^3+x^2y+xy^...

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  17. Find the sum of the series upto infinite terms 3/4-5/4^2+3/4^3-5/4^4+....

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  18. Find the sum of the following geometric series: a/(1+i)+a/((1+i)^2)+a/...

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  19. Find the sum of the following geometric series: 1,\ -a,\ a^2,-a^3, to...

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  20. Find the sum of the following geometric series: x^3, x^5, x^7, to\ n ...

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