how would i find the sum of the 7 term. if i have 1st term = 11 and 7th term = 704.its a geometric series.
i don't know how to find the difference?
To find the sum of a geometric series, you need to know the first term (a) and the last term (n) of the series, as well as the common ratio (r).
In this case, the first term (a) is given as 11 and the seventh term (n) is given as 704. Therefore, we can say:
a = 11
n = 704
Since it's a geometric series, we can find the common ratio (r) by dividing any term by its previous term. In this case, we can divide the seventh term (n) by the first term (a):
r = n/a = 704/11 = 64
Now that we have the first term (a), the last term (n), and the common ratio (r), we can proceed to find the sum of the 7-term geometric series.
The sum (S) of a geometric series can be calculated using the formula:
S = a(1 - r^n)/(1 - r)
where:
S = sum of the series
a = first term
r = common ratio
n = number of terms
In this case, we are given the first term (11), the common ratio (64), and the number of terms (7). Substituting these values into the formula, we get:
S = 11(1 - 64^7)/(1 - 64)
Now, you can use a calculator or calculator software to calculate the value of S.