Sigma Notation for Geometric and Arithmetic Series

$$3,\ -12,\ \ 48$$

$$7,\ 3\ ,\ -12$$

$$3\ ,\ -1,\ -5$$

$$1\ ,\ 2\ ,\ 3\$$

$$3,\ -12,\ \ 48$$

$$-4,\ 16\ ,\ -64$$

$$3\ ,\ -1,\ -5$$

$$1\ ,\ 2\ ,\ 3\$$

$$2$$

$$-11$$

$$-13$$

20

$$125$$

$$\frac{2}{5}$$

$$50$$

$$4$$

$$a_n=3\left(6\right)^{\left(n-1\right)}$$

$$a_n=\ 3n\ -\ 7$$

$$a_n=5\left(\frac{1}{2}\right)^n$$

$$a_n=4\left(\frac{3}{2}\right)^n$$

There are 81 terms in the series.

The first term is 81.

The common ratio is 1/3.

The common ratio is 4.

There are 120 terms in the sequence.

$$a_{n\ }=\ 3n+6$$

$$a_{n\ }=\ -3n+6$$

$$a_{n\ }=\ -3n$$

$$a_{n\ }=\ 9\left(3\right)^n$$

$$\sum_{i=1}^63n+6$$

$$\sum_{i=1}^6-3n+6$$

$$\sum_{i=1}^69\left(3\right)^{\left(n-1\right)}$$

$$\sum_{i=1}^69\left(-3\right)^{\left(n-1\right)}$$

$$\sum_{n=1}^{20}48\cdot\left(2\right)^{\left(n-1\right)}$$

$$\sum_{n=1}^{20}48\cdot\left(\frac{1}{2}\right)^{\left(n-1\right)}$$

$$\sum_{n=1}^{20}48\cdot\left(\frac{1}{2}\right)^n$$

$$\sum_{n=1}^{48}20\cdot\left(2\right)^{\left(n-1\right)}$$