The rule of geometric sequence is ⇒⇒⇒ a * r^(n-1)
Where a is the first term and r is the common ratio
for the given sequence √5 , √10 , 2√5 , .......
a = √5
r = √10 / √5 = √2
The ninth term = √5 * (√2)^(9-1) = √5 * (√2)⁸ = 16 √5

the correct answer is the third option 16√5

5 0

3 years ago

The square of a number is 15 more than 2 times the number

UkoKoshka [18]

x^2 = 2x + 15

x^2 -2x - 15 = 0

Factor:

(x-5)(x+3) = 0

x = 5 or x = -3

3 0

3 years ago

Solve 4(4f-9)=-(2-f)

Whitepunk [10]

Answer:

f = $\frac{7}{15}$

Step-by-step explanation:

1. 4(4f - 9) = -(2-f) distribute the negative

2. 4(4f - 9) = -2 + f Distribute the 4

3. 16f - 9 = -2 + f Subtract f on both sides

4. 15f - 9 = -2 Add 9 on both sides

5. 15f = 7 Divide both equations by 15

6. $\frac{15f}{15} = \frac{7}{15}$

f = $\frac{7}{15}$

8 0

3 years ago

A square orange rug has a blue square in the center. The side length of the blue square is x inches. The width of the orange ban

Ivahew [28]

Answer:

(x+12)(x+12)-x^2

x^2 + 2(12)(x)+12^2-x^

=24x+144

Step-by-step explanation:

3 0

2 years ago