The first term of a G.P. Is 5 and the common ratio is-2. What is the 6th term?
formular of finding a the common ratio of a G.P
It's a really important
The first time of a g.p is 5 and the common ratio is -2. What is the 6th term
17 March 2022
To find the 6th term of a geometric progression (G.P.) with a first term of 5 and a common ratio of -2, you can use the formula for the nth term of a G.P., which is given by:
an = a1 * r^(n-1)
Where:
an = nth term of the G.P.
a1 = first term of the G.P.
r = common ratio of the G.P.
n = position of the desired term in the G.P.
In this case, we have:
a1 = 5 (first term)
r = -2 (common ratio)
n = 6 (6th term)
Plugging these values into the formula, we get:
a6 = 5 * (-2)^(6-1)
Now, let's calculate the 6th term:
a6 = 5 * (-2)^5
= 5 * (-32)
= -160
Therefore, the 6th term of the G.P. with a first term of 5 and a common ratio of -2 is -160.