Sequences

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

• Major Difference

• Common denominator

• Common difference

• Common numerator

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CCSS.HSF.BF.A.2

What does it mean to find the nth term in a formula/sequence (arithmetic or geometric)?

• The nth term in a sequence means that the n is a variable and you have to find an x and a y to find the nth term

• The nth term is a formula with n in it which enables you to find any term of a sequence without having to go up from one term to the next.

• The nth term in a sequence is when you have to subtract from the common difference in a geometric sequence

• The nth term in a sequence is when you have to subtract from the common difference in a arithmetic sequence

Tags

CCSS.HSF.BF.A.2

How can you find the common ratio in a geometric sequence?

• The common ratio can be found by multiplying any term then adding it after you find the product

• The common ratio can be found by subtracting any two terms in the sequence

• The common ratio can be found by adding any two terms in the sequence

• The common ratio can be found by dividing any term in the sequence by the previous term.

Tags

CCSS.HSF.BF.A.2

What is the next term in the sequence? Also give the type of sequence.

4, 8,1 6, 32, 64, 128...

• 256 geometric

• 256 arithmetic

• 2 geometric

• 286.075 arithmetic

Tags

CCSS.HSF.BF.A.2

What is the next term in the sequence? Also give the type of sequence.

144, 132, 120, 108, 96, 84 ....

• -0.917 arithmetic

• -0.917 geometric

• -2 geometric

• 72 Arithmetic

Tags

CCSS.HSF.BF.A.2

Which of the following sequences have a common difference of -3?

1. 12, 9, 6, 3, 0, -3

2. 1, 4, 7, 10, 13, 16

3. -3, 0, 3, 6, 9, 12

4. -4, -7, -10, -13, -16

• 4 only

• 1 and 4

• 1 only

• 1,2, and 4

• 1,2 and 3

Tags

CCSS.HSF.BF.A.2

What type of sequence does this represent? What is the common difference or common ratio?

3, 9, 27, 81, 243, 729

• geometric- common difference is 3

• geometric- common ratio is 3

• arithmetic- common difference is 3

• arithmetic- common ratio is 3

Tags

CCSS.HSF.BF.A.2

What is a recursive formula for a geometric sequence

• For a geometric sequence with recurrence of the form a(n)=ra(n-1) where r is constant, each term is r times the previous term.

• A recursive formula allows us to find any term of an geometric sequence using a function of the preceding term

• A recursive formula in a geometric sequence allows you to find any first term that is less than or equal to 0

Tags

CCSS.HSF.BF.A.2

What is the explicit formula for a geometric sequence?

• The explicit formula for a geometric sequence is in the form when aⁿ is greater than 0

• The explicit formula for a geometric sequence is of the form a_n = a₁^r-1, where r is the common difference

• The explicit formula for a geometric sequence is of the form a_n = a₁^r-1, where r is the common ratio

• The explicit formula for a geometric sequence is of the form a_n = a₁^r-1, where r is the common denominator

Tags

CCSS.HSF.BF.A.2

What is the explicit formula for an arithmetic sequence?

• a_n=a₁+(n-1)^d*x

• a_n=a₁+(n-1)r

• a_n=a₁+(n-1)^d*r

• a_n=a₁+(n-1)d

Tags

CCSS.HSF.BF.A.2