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nekit [7.7K]
3 years ago
11

The fith term of a G.P is 8 times the 2nd term find its common ratio​

Mathematics
2 answers:
Dovator [93]3 years ago
6 0

Answer:

Common ratio r = 2

Step-by-step explanation:

\because the fith term of a G.P is 8 times the 2nd term.

\therefore  \: t_5 = 8\times t_2 \\ \therefore  \: ar^{5-1}=8\times \: ar^{2-1}  \\ \therefore  \: r^{4}=8\times \: r^{1} \\ \therefore  \: r^{3}=8 \\ \therefore  \:r^{3}= {2}^{3}  \\   \hspace{20 pt}\huge \red{ \boxed{\therefore  \:r= {2}}} \\

Hence, common ratio is 2.

GrogVix [38]3 years ago
5 0

Answer:

The common ratio is 2

Step-by-step explanation:

T_n = ar^(n-1)

T_5 = 8(T_2)

r = ?

T_5 = ar^4

T_2 = ar

Therefore

ar^4 = 8ar

Divide both sides by ar, we have

r³ = 8

Taking the cube root of both sides, the result is

r = 2

The common ratio is 2

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