Geometric Formula

Type of sequence: ​ (a)  

This sequence has a common ​​ (b)   ​

The second term in the sequence is ​ (c)  

• geometric

• ratio

• 10

• arithmetic

• difference

• 7

• 2.5

• 3

Tags

AI.9.12.C

Which is the recursive formula describing this sequence?

• g_n = 2•3^n-1

• g₁ = 2

  g_n = 3 • g_n-1

• t_n = 2 + (n - 1)3

• a₁ = 2

  a_n = a_{n - 1} + 4

Tags

AI.9.12.D

g₅ = 3888 , and g₃ = 108.

The common ratio is ​ (a)   and the first term is ​ (b)  

• 6

• 3

• 1/2

• 1/6

• 0

• 1

• 160

• 2

Tags

AI.9.12.D

Given that the function f(x) = 4(2)^x models a geometric sequence, which statement is not true? (There may be more than one answer)

• The first term of the sequence is 8

• The first term of the sequence is 4

• The first term of the sequence cannot be determined

• The domain of the sequence is the counting numbers:

  {1, 2, 3, 4, ...}

Answer explanation

Since the domain is the counting numbers, the first term in the sequence is where x = 1: f(x) = 8

Tags

AI.9.12.C

How is AB written in the distance formula?

If this is a right triangle, find the measure of x to the nearest hundredth.

• 42°

• 41.98°

• 41.99°

• 45°

A function representing a sequence is shown. Identify the type of sequence, the first term of the sequence, and the common ratio

Tags

AI.9.12.C

In a sequence of numbers, a₄ = 648, a₅ = 1944, a₆ = ​ 5832.

a₁ = ​ (a)  

a_n = (​ (b)   ) • a_{n - 1}

• 24

• 3

• 8

• 0

• 1/3

• 1296

Tags

AI.9.12.C

In a sequence of numbers, a₅ = 486, a₈ = ​ 13122.

a₁ = ​ ​ (a)  

a_n = (​ ​ (b)   ) • a_{n - 1}

• 6

• 3

• 2

• 0

• 1/3

• 12636

• 4212

• 18

Tags

AI.9.12.C

What is this formula for:

A = 1/2 x Base x Height

• Area of a Triangle

• Area of a Rectangle

• Area of a Circle

• Area of a Parallelogram