CRE 3 - Infinite Geometric Progression | Algebra - Progressions
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The sum of an infinite G.P. can be found
- (a)
For all values of r
- (b)
For only positive value of r
- (c)
Only for 0 < r < 1
- (d)
Only for – 1 < r < 1
Solution
Discuss
ReportFind the sum of the following infinite series: 3 + 1 + 1/3 + 1/9 + …
- (a)
5
- (b)
6
- (c)
9
- (d)
4.5
If 3 + 3α + 3α2 + … ∞ = 15/4, then the value of α will be
- (a)
15/23
- (b)
1/5
- (c)
7/8
- (d)
15/7
The sum of infinity of a geometric progression is 16 and the first term is 9. The common ratio is
- (a)
7/16
- (b)
9/16
- (c)
1/9
- (d)
7/9
The mid-points of the sides of a triangle are joined forming a second triangle. Again, a third triangle is formed by joining the mid-points of this second triangle and this process is repeated infinitely. If the perimeter and area of the outer triangle are P and A respectively. What will be the sum of perimeters of all the triangles?
- (a)
2P
- (b)
P2
- (c)
3P
- (d)
P2/2
In the above problem, find the sum of areas of all the triangles
- (a)
4A/5
- (b)
4A/3
- (c)
3A/4
- (d)
5A/4