Mathematics: What is the common ratio of the geometic sequence whose second and forth terms are 6 and 54, respectively? a) 1b) 2c) 3d) 4

What is the common ratio of the geometic sequence

alogon1

09.01.2022

Step-by-step explanation:

The n th term formula of a geometric sequence is

$a_{n}$ = a $r^{n-1}$

where a is the first term and r the common ratio

Using the second and fourth term, then

ar = 6 → (1)

ar³ = 54 → (2)

Divide (2) by (1)

$\frac{ar^3}{ar}$ = $\frac{54}{6}$ = 9

r² = 9 ⇒ r = $\sqrt{9}$ = 3 → C

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munchycluz9

01.04.2020

Step-by-step explanation:

so first of all we would have to plug in what were given and simplify:

$8 - \frac{8}{2} + {7}^{2} \\ 8 - 4 + 49 = 4 + 4 9= 53$

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