Find the first few term of the following geometric sequence.
1. 7, 13, 28... a6
2. -16, 4,... a7
3. 25, 5, 2... a8
4. 2. 12. 72... a5
5. 18, 6,... a7
Nonsense = Report
1. 7, 13, 28... a6
2. -16, 4,... a7
3. 25, 5, 2... a8
4. 2. 12. 72... a5
5. 18, 6,... a7
Nonsense = Report
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Answer:
1. 7, 13, 28, ...
a6=?, r= 13/7, 28/13
-This sequence is not geometric.
2. -16, 4, ...
a7=?, r= -1/4
An= a1r^n-1
A7= (-16) (-1/4)^7-1
= -16/4096
= -1/256
3. 25, 5, 2, ...
a8=?, r= 1/5
An= a1r^n-1
A8= (25)(1/5)^8-1
= (25) (1/78,125)
= 25/78,125
= 1/3,125
4. 2, 12, 72, ...
a5=?, r=6
An= a1r^n-1
A5=(2)(6)^5-1
=(2)(1,296)
=2,592
5. 18, 6, ...
a7=?, r=1/3
An=a1r^n-1
A7=(18)(1/3)^7-1
=(18)(1/729)
=18/729
=2/81