The 5th terms of G.P is 4375 and 2nd term is 35 find ?
What do you want us to find?
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To find the missing information in this problem, we need to understand the formula for the nth term of a geometric progression (G.P).
The formula for the nth term of a G.P. is: a * r^(n-1)
Here, 'a' represents the first term and 'r' represents the common ratio.
Given:
5th term, T(5) = 4375
2nd term, T(2) = 35
From the formula, we can write two equations using the given information:
Equation 1: a * r^(4) = 4375 ---(1)
Equation 2: a * r = 35 ---(2)
To find the value of 'a' and 'r,' we can divide Equation 1 by Equation 2:
(a * r^(4)) / (a * r) = 4375 / 35
Simplifying this equation, we get:
r^(3) = 125
Taking the cube root of both sides, we find:
r = 5
Substituting the value of 'r' into Equation 2, we can find the value of 'a':
a * 5 = 35
Dividing both sides by 5, we get:
a = 7
So, the value of 'a' is 7.
To find the missing values asked in the question, we need to calculate the 5th term:
T(5) = a * r^(5-1)
= 7 * 5^4
= 7 * 625
= 4375
Thus, the missing value is the 5th term, which is 4375.
r^3 = 4375/35 = 125, so r=5
Now use that as you need to.