Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio
. For example, we can say:


We have
. To find
, let's multiply this term by
:

Now, let's use this to find all of our other terms:



Thus, our terms are 64, 80, 100, 125, and (625/4).
Answer:
B) y = -3x+2
Step-by-step explanation:
plug (2,-4) and -3 into y = mx + b to find 'b'
-4 = -3(2) + b
b = -4+6 = 2
Answer:
y + 7 = -1/4(x - 4)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = -1/4
Point (4, -7)
<u>Step 2: Write Function</u>
y + 7 = -1/4(x - 4)
Answer:
6t-5
x should be the constant term. just guess
The recursive formula for given sequence is: 
And the terms will be expressed as:

Step-by-step explanation:
First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio
Given sequence is:
11,4,-3,-10,-17...
Here

As the common difference is same, given sequence is an arithmetic sequence.
A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference
So, the recursive formula for an arithmetic sequence is given by:

Hence,
The recursive formula for given sequence is: 
And the terms will be expressed as:

Keywords: arithmetic sequence, common difference
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