Summation Notation Review

Which statement is incorrect?

• The index i tell you where to start the sequence of numbers to be added.
• The . . . implies that those terms do not matter.
• Sigma is a greek letter of the alphabet and implies addition in mathematics.
• The number n at the top of the notation tells you what term is last in the list.

Evaluate.

• 35
• 0
• 85
• 70

The summation is the same as which series?

• (4+10) + (4+20) + (4+30) + (4+40) + (4+50) + (4+60) + (4+70) + (4+80) + (4+90) + (4+100) + (4+110)
• 1+2+3+4+5+6+7+8+9+10+11
• 4 + 110
• 4 + 10

This summation is the same as which series?

• 1 + 2 + 3 + 4 + 5 + 6
• (1 - 2) + (2 - 2) + (3 - 2) + (4 - 2) + (5 - 2) + (6 - 2)
• (1 - 2) + (6 - 2)
• (1 - 2) + (2 - 2) + (3 - 2) + (4 - 2)

Is this summation finite or infinite?

• Finite, because there are only 6 terms to add up.
• Infinite, because there are an infinite number of terms to add up.

What is the proper expansion for the following series?
 $\sum_{k=0}^33\left(-2\right)^k$  

• 3 + (-6) + 18

• 3 + (-6) +12

• 3 + (-6) + 12 + (-24)

• -6 + 12 + (-24) + 48

This summation is the same as which series?

• (1/4) + (1/5) + (1/6) + (1/7) + ...
• 4+5+6+7+8+...
• (1/4) + (2/4) + (3/4) + (4/4) + (5/4) + (6/4) + ...

Find the sum

• 10

• 20

• 30

• 40

• 50

5. $1^{3\ }+\ 2^3+3^3+4^3+...+10^3$  write in summation notation

•  $\sum_{n=0}^5n^3$  

•  $\sum_{n=1}^{10}n^3$  

•  $\sum_{n=1}^n10^3$  

•  $\sum_{n=1}^310^n$  

•  $\sum_{n=1}^{10}\left(1\ +n\right)^3$  

3+5+7+...+15 = ...

• $\sum_{n=1}^6\left(2n-1\right)$

• $\sum_{n=1}^7\left(2n-1\right)$

• $\sum_{n=1}^8\left(2n-1\right)$

• $\sum_{n=1}^7\left(2n+1\right)$

• $\sum_{n=1}^8\left(2n+1\right)$