What is the 6th term of the geometric series with a1= -5 and r=2.5
term(6) = ar^5
= (-5)(2.5)^5 = -488.28125
To find the 6th term of a geometric series, you can use the formula:
an = a1 * r^(n-1)
where "an" is the nth term of the series, "a1" is the first term, "r" is the common ratio, and "n" is the position of the term you want to find.
In this case, the first term "a1" is -5, and the common ratio "r" is 2.5. We want to find the 6th term, so we can substitute these values into the formula:
a6 = -5 * (2.5)^(6-1)
Now let's simplify and calculate the answer:
a6 = -5 * (2.5)^5
= -5 * (97.65625)
= -488.28125
Therefore, the 6th term of the geometric series with a1 = -5 and r = 2.5 is -488.28125.