13.2 Homework: series and series notation

$S=\sum _{n=1}^7\text{10}-n$

• A

  Write out all the terms of this series.

• B

  Does this represent an arithmetic series, a geometric series, or neither?

• C

  Find the sum.

True or false?

• A

  $\Sigma (t_n+2)=\Sigma t_n+2$

• B

  $\Sigma \left(2t_n\right)=2\Sigma t_n$

Write the following series in series notation.

• A

  $6+7+8+9+10$

• B

  $\mathrm{-6}-7-8-9-10$

• C

  $6+8+10+12+14$

• D

  $6+12+24+48$

• E

  $6-7+8-9+10$

• F

  All the even numbers between 50 and 100.