hi here is my question: what is the general term of the following series?
60/121,-30/11,15, 165/2......
my answer I am debating between two ansers!:
1) (60/121) X (-11/2)^n
2) (-120/1331) X (-11/2)^n
I belive the second one is right am I right? thanks!
I don't think either is correct, but 1) is closer. It should look like
(60/121)*rn-1
For n=1 you should get the first term.
Why is the second term negative, but not the fourth one, is that a typo?
12+14
From the given series, it seems that there might be an error in the terms provided. The first term is 60/121, the second term is -30/11, and the third is 15. It is unclear what the fourth term would be based on the given information.
However, assuming there is an error in the terms provided and considering the general pattern, we can try to find a general formula for the series.
Looking at the first three terms, we notice that each subsequent term seems to be multiplied by a factor. Let's call this factor "r."
Based on the pattern observed, the general term for the series could be calculated as follows:
an = (60/121) * rn-1
Here, "an" represents the nth term of the series.
Now, we need to determine the value of "r" in order to complete the formula.
To find the common ratio, we can divide each term by its preceding term:
(-30/11) / (60/121) = -121/22
(15) / (-30/11) = -11/2
Thus, the common ratio "r" is -11/2.
Therefore, the correct general term for the series should be:
an = (60/121) * (-11/2)n-1
Note: Without the complete information for the series, it is difficult to determine the exact general term. It's advisable to double-check the provided terms to ensure accuracy.