CRE 2 - Geometric Progression | Algebra - Progressions
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In G.P. of 100 numbers if 13th term from the beginning is 50, find the 88th term from the end.
Solution
Discuss
ReportThe numbers (√3 + 1), √2, (√3 - 1) will be in
- (a)
A.P.
- (b)
G.P.
- (c)
H.P.
- (d)
None of these
Product of three numbers in G.P. is 512. Find the second number.
The sum of first two terms of a G.P. is 2 and every term of this series is thrice of its previous term, then the first term will be
- (a)
1/4
- (b)
1/3
- (c)
2/3
- (d)
1/2
The second term of geometric sequence is 3 and the 50th term is 81/8. The 98th term of the sequence is:
- (a)
21///64
- (b)
2187/63
- (c)
2188/63
- (d)
2187/64
If the 6th term of the G.P. is 2, then the product of first 11 terms is
- (a)
1024
- (b)
512
- (c)
2048
- (d)
None of these
The first and last terms of a G.P. are a and l respectively; r being its common ratio; then the number of terms in this G.P. is
- (a)
(log l - log a)/log r
- (b)
1 - (log l - log a)/log r
- (c)
(log a - log l)/log r
- (d)
1 + (log l - log a)/log r
If a, b, c are in G.P., then log a, log b, log c are in
- (a)
A.P.
- (b)
G.P.
- (c)
H.P.
- (d)
Cannot be determined
Find the total number of terms in a G.P., if its first term is 12, last term is 2916 and the common ratio is 3.
- (a)
5
- (b)
6
- (c)
8
- (d)
10
- (e)
12
Product of the first and fifth term of a G.P. is 1296. Find the third term.
- (a)
36
- (b)
6
- (c)
12
- (d)
24
- (e)
32
Sum of all odd terms of a GP containing 100 terms is 1122 and the sum of all even terms of the same GP is 1683. Find the common ratio.
- (a)
2
- (b)
2/3
- (c)
3/2
- (d)
1/2
If a, b, c and d are in GP, then (a + b), (b + c) and (c + d) are in
- (a)
AP
- (b)
GP
- (c)
HP
- (d)
Cannot be determined