## General term of Geometric progression - Advance

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.  If (p+q)thterm a G.P. be m and (p – q)th term be n, then the pth term will be

•  mn
•  Math.sqrt(mn)
•  mn2
•  None of these

Math.sqrt(mn)

Q2.  If the third term of a G.P. is 4 then the product of its first 5 terms is

•  44
•  43
•  45
•  None of these

45

Q3.  If the first term of a G.P. a1, a2, a3, ... is unity such that 4a2+5a3 is least, then the common ratio of G.P. is

•  -2/5
•  3/5
•  4/3
•   4/5

-2/5

Q4.  Fifth term of a G.P. is 2, then the product of its 9 terms is

•   256
•   512
•  1024
•  None of these

512

Q5.  If the nth term of geometric progression 5, -5/2, 5/4, -5/8,..... 5/1024 is , then the value of n is

•  11
•  14
•  16
•  None of these

11

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