SOLUTION: Please help me with this. 1) The first and last term of a geometric series are 2 and 2048 respectively. The sum of the series is 273 a) find the number of terms b) find the commo

Click here to see ALL problems on Sequences-and-series

Question 824706: Please help me with this.
1) The first and last term of a geometric series are 2 and 2048 respectively. The sum of the series is 273 a) find the number of terms
b) find the common ratio
Thanks for your help.
Answer by jsmallt9(3758) (Show Source):
You can put this solution on YOUR website!
There is something wrong with what you posted:
2048 [as we all know ;)] is which means its prime factors are 11 2's.
To get from the first term to the last term in a geometric series, the first term is multiplied by the common ratio one or more times.
Since 2048 only has factors of 2 and since the first term is also a power of 2, the common ratio is also + a power of 2.
Powers of 2, positive or negative, are all even.
Even numbers cannot add up to an odd number like 273.
P.S. Please post this in an appropriate category. You posted this under "Radicals" and this problem has nothing to do with radicals. Posting your problem under an appropriate category will get you faster responses. (I have changed the category to "Sequences and Series".