Sigma Notation, Area under a Curve

How many TERMS are there in the series  $\sum_{k=3}^{13}3k+1$  

• 13

• 11

• 10

• 12

Tags

CCSS.HSF.BF.A.2

Write 1 + 2 + 3 + ... + 10

using sigma notation

• $\sum_{d=1}^9\left(d\right)$

• $\sum_{d=1}^{10}\left(d+1\right)$

• $\sum_{d=1}^{10}\left(d\right)$

• $\sum_{d=0}^{10}\left(d+1\right)$

Tags

CCSS.HSF.BF.A.2

Write 1 + 4 + 9 + ... + 49

using sigma notation

• $\sum_{k=0}^7k^2$

• $\sum_{k=1}^8k^2$

• $\sum_{k=1}^{49}k^2$

• $\sum_{k=1}^7k^2$
  

Tags

CCSS.HSF.BF.A.2

Expand the given sum.  $\sum_{k=3}^7\frac{k+1}{k^2+1}$  

•  $\frac{1}{5}+\frac{2}{17}+\frac{3}{13}+\frac{4}{37}+\frac{5}{25}$  

•  $\frac{2}{5}+\frac{5}{17}+\frac{3}{13}+\frac{7}{37}+\frac{4}{25}$  

•  $\frac{5}{2}+\frac{17}{5}+\frac{13}{3}+\frac{37}{7}+\frac{25}{4}$  

•  $\frac{2}{10}+\frac{5}{17}+\frac{3}{26}+\frac{7}{37}+\frac{4}{50}$  

Tags

CCSS.HSF.BF.A.2

 $\ \ Evaluate\ the\ \exp ression:\ \ \ \ \sum_{k=1}^4k^3\$  

• 100

• 110

• 30

• 40

 $Evaluate:\ \ \sum_{a=2}^6\left(a^2+a\right)$  

• 70

• 110

• 90

• 100

 $What\ is\ the\ value\ of\sum_{k=1}^3\frac{k^2}{k+1}$  

•  $\frac{49}{12}$  

•  $\frac{47}{12}$  

•  $\frac{11}{6}$  

•  $\frac{43}{12}$  

 $Which\ of\ the\ following\ is\ equivalent\ to\sum_{n=1}^5\left(3n+2\right)$  

•  $\sum_{n=0}^4\left(3n+2\right)$  

•  $\sum_{n=0}^4\left(3n-1\right)$  

•  $\sum_{n=0}^4\left(3n+5\right)$  

•  $\sum_{n=0}^4\left(3n-4\right)$  

Write the given expression using summation notation. $2\left(1.5\right)^2+2\left(2\right)^2+2\left(2.5\right)^2+...+2\left(5.5\right)^2$  

•  $\sum_{n=1}^9\left(2\left(1+0.5n\right)^2\right)$  

•  $\sum_{n=0}^8\left(2\left(1+0.5n\right)^2\right)$  

•  $\sum_{n=1}^9\left(2\left(0.5n\right)^2\right)$  

•  $\sum_{n=0}^8\left(1+0.56n\right)^2$  

Tags

CCSS.HSF.BF.A.2

What is the approximate area under the curve, using 4 intervals with heights using left values?

• 20

• 14

• 10

• 8