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Find the n^(th) term of the G.P. (3)/(2...

Find the ` n^(th)` term of the G.P. `(3)/(2), (3)/(4), (3)/(8),….` also find its ` 20^(th)` term

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To find the \( n^{th} \) term of the geometric progression (G.P.) given by the terms \( \frac{3}{2}, \frac{3}{4}, \frac{3}{8}, \ldots \), we will follow these steps: ### Step 1: Identify the first term (A) and the common ratio (R) The first term \( A \) of the G.P. is: \[ A = \frac{3}{2} \] ...
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AAKASH INSTITUTE-SEQUENCES AND SERIES -Try Yourself
  1. Find the sequence whose n^(th) term is 5^(n-1) it a G.P. ? Find it...

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  2. Find the sequence whose n^(th) term is 5^(n) - 1 is it a G.P. ? Wh...

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  3. Find the n^(th) term of the G.P. (3)/(2), (3)/(4), (3)/(8),…. also fi...

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  4. Which term of the G.P. 0.004, 0.02, 0.1,… is 12.5 ?

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  5. If 5th nd 8th of a G.P. be 48 and 384 respectively. Findteh G.P. if te...

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  6. If the (p+q)^(th) term of a G.P. is a and (p-q)^(th) term is b, determ...

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  7. In any G.P. , prove that a(n-p) xxa(n+p) = (a(n))^(2) .

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  8. If a be the first term, l the nth and p the product of first n terms ...

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  9. Find the three numbers in G.P. whose sum is 93 and whose product is 33...

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  10. Find the three numbers in G.P. whose sum is 38 and whose product is 17...

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  11. Find three numbers in G.P. whose sum is 13 and the sum of whose square...

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  12. A number consists of three digits in G.P. The sum of unit's digit and ...

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  13. Find four numbers forming a geometric progression in which the third ...

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  14. If the sum of four numbers in G.P. is 60 and the A.M. of he first and ...

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  15. Find the sum of indicated number of terms of each of the following G.P...

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  16. Find the sum of the following series : (1)/(4) + (1)/(2) + 1 + … to...

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  17. Find the sum of indicated terms of each of the following geometric pro...

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  18. Find the sum to n terms (i) 9 + 99 + 999 + … (ii) 0.2 + 0.22...

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  19. How many terms of the series 1+2+2^2+….. must be taken to make 511?

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  20. .Find the G.P., if the common ratio of G.P. is 3, nth term is 486 and ...

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