Arithmetic series and Geometric series

What is the common difference in an arithmetic sequence?

• The sum of the first and last term

• The product of the first and last term

• The ratio between consecutive terms

• The difference between consecutive terms

Tags

CCSS.HSF.BF.A.2

What is the common ratio in a geometric sequence?

• The average of all terms

• The ratio between consecutive terms

• The difference between consecutive terms

• The sum of the first and last term

Tags

CCSS.HSF.BF.A.2

How is the arithmetic mean of two numbers in a sequence calculated?

• Sum of two terms divided by their difference

• (First term + Last term) / 2

• Square root of the product of two terms

• (First term * Last term) / 2

How is the geometric mean of two numbers calculated?

• Sum of two terms divided by 2

• Product of two terms divided by their sum

• Square root of the product of two terms

• (First term + Last term) / 2

What formula is used to find the nth term of an arithmetic sequence?

• a_n = a_1 / (1 - r^n)

• a_n = a_1 * r^(n - 1)

• a_n = a_1 + (n - 1) * d

• a_n = (a_1 + a_n) / 2 * n

Tags

CCSS.HSF.BF.A.2

What formula is used to find the nth term of a geometric sequence?

• a_n = a_1 / (1 - r^n)

• a_n = a_1 * r^(n - 1)

• a_n = a_1 + (n - 1) * d

• a_n = (a_1 + a_n) / 2 * n

Tags

CCSS.HSF.BF.A.2

What is the difference between a sequence and a series?

• A series is the sum of numbers in a sequence.

• A sequence is a function, while a series is not.

• A sequence and a series are the same.

• A sequence is the sum of numbers, while a series is a list of numbers.

Tags

CCSS.HSF.BF.A.2

How do you calculate the sum of the first n terms in an arithmetic series?

• s_n = (a_1 + a_n) / 2 * n

• s_n = a_1 / (1 - r^n)

• s_n = a_1 * r^(n - 1)

• s_n = a_1 + (n - 1) * d

How do you identify an arithmetic sequence?

• By its common ratio

• By the sum of its terms

• By its common difference

• By the product of its terms

Tags

CCSS.HSF.BF.A.2

What is the sum of the first 300 natural numbers?

• 60,150

• 15,150

• 45,150

• 30,150