For this case we must find the value of n of the following equation:

Taking common factor "n" from the left side of the equation we have:

Multiplying by 5 on both sides of the equation:

Dividing between 6 on both sides of the equation:

Thus, the value of n is 20.
Answer:

8x2=16, 16 over 3 is roughly 5.33. so 5 is roughly 2/3rds of 8. Use basic cross multiplication
In the middle/Alike: 3,1,8,2,4
Outside for 318,274: Doesnt have 5
Outside for 138,524: Doesnt have 7
Answer:
<u>Given</u>
- tanθ = 3.454
- θ is in the III quadrant
We know in the III quadrant both sine and cosine are negative.
<u>Use the following identities to get values of sinθ and cos θ</u>
- sinθ = - tanθ/√(1 +tan²θ)
- cosθ = - 1/√(1 +tan²θ)
<u>Substitute the value of tanθ and find sine and cosine:</u>
- sinθ = - 3.454/√(1 + 3.454²) = - 0.961
- cosθ = - 1/√(1 + 3.454²) = - 0.278
Answer:


Step-by-step explanation:
The recursive rule is a term defined in terms of other terms in the sequence.
The is a geometric sequence because it has a common ratio.
The common ratio can be found by dividing a term by previous term.
For example, all of these are equal:



They are all equal to
.
So we are saying:

More formally:
.
Multiply both sides by
:

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).
So the first term is 2.
So the full thing for the answer is:

