Find the 6th Term 4 , -24 , 144 , -864

$4$ , $- 24$ , $144$ , $- 864$

Step 1

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by $- 6$ gives the next term. In other words, $a_{n} = a_{1} r^{n - 1}$ .

Geometric Sequence: $r = - 6$

Step 2

This is the form of a geometric sequence.

$a_{n} = a_{1} r^{n - 1}$

Step 3

Substitute in the values of $a_{1} = 4$ and $r = - 6$ .

$a_{n} = 4 {(- 6)}^{n - 1}$

Step 4

Substitute in the value of $n$ to find the $n$ th term.

$a_{6} = 4 {(- 6)}^{(6) - 1}$

Step 5

Subtract $1$ from $6$ .

$a_{6} = 4 {(- 6)}^{5}$

Step 6

Raise $- 6$ to the power of $5$ .

$a_{6} = 4 \cdot - 7776$

Step 7

Multiply $4$ by $- 7776$ .

$a_{6} = - 31104$

Find the 6th Term 4 , -24 , 144 , -864

Related Questions

Support LCMGCF.com by disabling your adblocker.