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.