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Geometric Progression - 2
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Geometric Progression - 2

## Bharat Gupta is teaching live on Unacademy Plus

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thanks sir, i got 96 percentile in this mains and came to know abt u only after mains, now i am so confident that i would do well in advanced and mains ,,,,,,, thanks sir
sir here in the last question ; if we just put some values of n & s ; we can also get the answer as p^2 ; i.e for example ; if there are 2 numbers i.e 1 & 2 (they are also in G.P) ; so n=2 & s=3 & by proceeding ; we can get our answers . Is there anything wrong in this method ? Kindly suggest sir .
Tn
Tushar nikose
6 months ago
it will not always give you corrnet answer , take for example 1 2 4 , S=7 P=8 and R=7/8
Tn
Tushar nikose
6 months ago
correct
Yuktee Mittal
3 months ago
@tushar in that case also the aforementioned method will be correct, as R=7/4 and not 7/8
So, from the last question, we can generalise as: ratio of sum of terms of GP [ S ] to that of its reciprocals [ R ] will always be equal to the nth term of the GP. i.e., ( S/R )=nth term of the GP
Hello Sir, if we use b^2 = ac, in the first question, we can get the answer in two lines. I think its easier. Thank u
In the last question just assume there are 2 values and solve. It will be much easier.
1. SEQUENCE AND SERIES Class -7 (Geometric Proqression)

2. nth term of an Geometric Progression 2 a n-l Sum of n term of an Geometric Progression

3. Sum of infinite term of an Geometric Progression =

4. if a, b, c are in G.P. the a b'c ) (a) a +b C (b) ab + ac +bc (c) a3 + b3 + c3 (d) None If a, b c are respectively the xth, yth and zth terms of G. ., then (y -z) log a + (z -x) log b (x -y) log c - (c) 0 (a) 1 If the common ratio, the last term and the sum of a G.P. are 3, 486 and 728 respectively, then the first term and the number of terms are (a) 2, 5 (b)-1 (d) None (b) 3, 6 (c) 2, 6 (d) None If the sum of the n terms of a G.P. be S, their product P and the sum of their reciprocals R, then (a) p ( (b) p2 (c) 2p2 (d) None

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6. If a, b, c are in G.P. the a2b2c2(++3) (a) a b C (b) ab + ac + bc (c) a3 + b3 + c3 (d) None

7. If a, b, c are in G.P the a2b2e2 (-1 + + (a) a b C (b) ab + ac + bc (c) a3 + b3 + c3 (d) None 6 y ow a

8. If a, b c are respectively the xth, yth and zth terms of G.P., then (y - z) log a + (z -x) log b(x - y) log c- (c) 0 (a) 1 (b)-1 (d) None

9. If a, b c are respectively the xth, yth and zth terms of G.P., then (y-z) log a + (z-x)log b + (x-y) log c = (c) 0 (a) 1 (b)-1 (d) None YD n-l z-1 C

10. If the common ratio, the last term and the sum of a G.P. are 3, 486 and 728 respectively, then the first term and the number of terms are (a) 2, 5 (b) 3, 6(c) 2,6 (d) None

11. If the sum of the n terms of a G.P. be S, their product P and the sum of their reciprocals R, then (a) p (b) p2 (c) 2p2 (d) None

12. If the sum of the n terms of a G.P. be S, their product P and the sum of their reciprocals R, then (a) p (b) p2 (c) 2p2 (d) None s car" (A7 2