## Sum to n terms of Geometric progression -Basic

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-one number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3.

Q1.  The sum of 100 terms of the series .9+ .09 + .009...... will be

•   1-(1/10)100
•  1+(1/10)100
•  1-(1/10)106
•  1+(1/10)106

1-(1/10)100

Q2.  If the sum of three terms of G.P. is 19 and product is 216, then the common ratio of the series is

•  -3/2
•  3/2
•  -3
•  -2

3/2

Q3. If the sum of first 6 terms is 9 times to the sum of first 3 terms of the same G.P., then the common ratio of the series will be

•  -1
•  2
•  -2
•  1

2

Q4.  If the sum of n terms of a G.P. is 255 and nth term is 128 and common ratio is 2, then first term will be

•  1
•  3
•  7
•  None of these

1

Q5.  The sum of 3 numbers in geometric progression is 38 and their product is 1728. The middle number is

•  12
•  18
•  16
•  None of these

12

Q6.  The sum of few terms of any ratio series is 728, if common ratio is 3 and last term is 486, then first term of series will be

•  2
•  1
•  3
•  4

2

Q7. The sum of n terms of a G.P. is 3 - 3n+1/42n, then the common ratio is equal to

•  3/16
•  3/256
•  3/128
•  None of these

3/16

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