1. List the first 9 terms of the sequence defined recursively by = −2 ∙(−1 −1), with 1 = 2 and 2 = 3

2. Compute the value of ∑ 8^ =1> , where is the same sequence as in the previous question.

3. Is the sequence from question 1 arithmetic, geometric, or neither? Explain how you reach your conclusion.

4. Find the sum of the first 200 terms of the arithmetic sequence that begins: 12, 18, 24, …

5. Find the sum of the first 8 terms of the geometric sequence that begins: 12, 18, 27, …

6. Find the sum of the infinite geometric sequence that begins 1/12 ,1/18
,1/27 , ...

$9.41

step-by-step explanation:

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: