Question

If for a G. P. t6/t3=1458/54 then r=?​

Answer 1

Answer:

3

Step-by-step explanation:

T6/T3= 1458/54

T6=a.r^5,

T3=a.r^2,

so putting values

a.r^5/a.r^2= 1458/54

a is cancelled and r^5-r^2=r^3

r^3= 27

r= 3

Answer 2

The value of r is 3.

Step-by-step explanation:

Consider the provided information.

The formula to calculate the general term of G.P is: $a_n=ar^{n-1}$

It is given that the 6th term of G.P is 1458

Therefore,

$a_6=ar^{6-1}$

$a_6=ar^{5}$

The 3rd term of G.P is 54

Therefore,

$a_3=ar^{3-1}$

$a_3=ar^{2}$

$\frac{ar^5}{a^2}=\frac{1458}{54}$

$r^3=27$

$r=3$

Hence, the value of r is 3.

#Learn more

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