Final Long Test for 2nd quarter

Evaluate.

• 290

• 278

• 250

• 295

During a math project, Mia listed several numbers as 2, 4, 6, 8, 10 and then wrote another expression as 2 + 4 + 6 + 8 + 10 to show her solution steps.
Based on her work, which statement correctly explains the difference between the two representations?

• Both are sequences because they show a list of numbers in order.

• The first is a series, and the second is a sequence because addition is shown.

• The first represents a sequence which is listing of terms, while the second represents a series , sum of the terms.

• Both are series because they involve consecutive numbers.

What is the sum of the first 30 terms of 2 -2 + 2 -2 +2 -2, ... ?

• 60

• 2

• -2

• 0

It is a sum of a sequence according to rule.

• Sequence

• Series

• Sigma Notation

• Sequencing

A list of numbers or objects in a special order or rule is called a _________.

• Sequence

• Series

• Sigma Notation

• Sequencing

A gardener arranged flower pots in a line following this pattern:
3, 6, 9, 12, …

He decided to find the total number of pots used after 4 rows by adding them all together.

Which of the following correctly shows how the gardener applied the concept of a series?

• Writing the pattern as 3, 6, 9, 12 to show the order of terms.

• Writing 3 + 6 + 9 + 12 to represent the sum of the terms.

• Describing the pattern as “adding 3 each time” without listing terms.

• Drawing the flower pots in a geometric shape.

Find the summation notation. $\left(3Y-5\right)+\left(3Y-6\right)+\left(3y-7\right)+\left(3Y-8\right)+\left(3Y-9\right)+\left(3Y-10\right)$  

•  $\sum_{n=5}^{10}\ 3n+Y$  

•  $\sum_{n=5}^{10}\ 3n-Y$  

•  $\sum_{n=5}^{10}\ 3Y-n$  

•  $\sum_{n=5}^{10}\ 3Y+n$  

• 0

• 1

• 2

A circle is drawn with its center at the origin, and its radius equals one unit. This circle is commonly known as the ______.

• Unit circle

• Standard circle

• Central circle

• Radian circle

• Correct, since subtracting three rotations always gives the smallest value.

• Correct, because all coterminal angles are equal.