the 6th term of g.p is 2000.find it first term if its common ratio is 10
To find the first term of a geometric progression (g.p.) when the 6th term and the common ratio are known, we can use the formula:
nth term = a * r^(n-1)
Where:
nth term represents the term number,
a represents the first term,
r represents the common ratio.
In this case, we are given that the 6th term is 2000, and the common ratio is 10. We want to find the value of the first term, a.
Let's substitute the given values into the formula:
2000 = a * 10^(6-1)
Now, simplify the formula:
2000 = a * 10^5
We need to isolate the variable a, so let's solve for it:
a = 2000 / 10^5
a = 2000 / 100000
a = 0.02
Therefore, the first term of the geometric progression is 0.02.