The 6th term of Gp is 2000.find its first term if its common ratio
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The 6 term of a gp is 2000. Find it first term if it common ratio is 10.
To find the first term of a geometric progression (GP), given the 6th term and the common ratio, we can use the formula for the nth term of a GP.
The formula for the nth term of a GP is:
an = a1 * r^(n-1)
Where:
an = nth term
a1 = first term
r = common ratio
n = term number
Given that the 6th term (a6) is 2000, we can substitute the values into the formula:
2000 = a1 * r^(6-1)
Simplifying the equation, we have:
2000 = a1 * r^5
Now, we need to know the value of the common ratio (r) to be able to solve for the first term (a1). Is there any other information provided about the GP?