Answer:
-14
Step-by-step explanation:
point AB = -23-5 /2 = -14
Answer:
The recursive formula for given series is: 
The explicit formula is given by: 
Step-by-step explanation:
<em>Determining the Recursive Formula:</em>
- As the given sequence is: 2,6,10,14
- The difference d can be computed by taking the difference between the consecutive terms of the mentioned sequence.
d = 6 -2 = 10 - 6 = 14 - 10 = 4
- It is observed that the difference between the consecutive terms remains constant) with common difference d = 4
- We know that if the difference between the consecutive terms remains constant), then the series is in arithmetic series. The recursive formula is:

- So, the recursive formula for given series is:

<em>Determining the Explicit Rule or Formula:</em>
An explicit formula defines the nth term of the sequence, where n being the term's location. In other words, a sequence can be defined as a formula in terms of n. So,
- First determine the sequence whether the sequence is in arithmetic. As we know that 2,6,10,14 is in arithmetic.
- Then find the common difference. Here, d = 6 -2 = 10 - 6 = 14 - 10 = 4
- Establishing an explicit formula by analyzing the pattern. i.e. adding first term to the product of d (common difference) and one less than the term number
Hence, the explicit formula is given by:
where,
aₙ is the nth term of the sequence
n is the term number
a₁ is the first term
d is the common difference
<em>As the given sequence is: 2,6,10,14</em>
a₁ = first term = 2
d = common difference = 6 - 2 = 4
Using explicit formula:



<em>Keywords: recursive formula, explicit formula, sequence</em>
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<span>To convert time in days it is necessary to multiply the time in years by 365</span>
All of them.
1. If you multiply by 2, they will be equal.
2. If you multiply by 5000 they will be equal.
3. If you divide by 3 they will be equal.
Answer:
Part 5) The length of the ski lift is 
Part 6) The height of the tree is 18.12 m
Step-by-step explanation:
Part 5)
Let
A -----> Beginning of the ski lift
B -----> Top of the mountain
C -----> Base of mountain
we have


----> by supplementary angles
Find the measure of angle B
Remember that the sum of the interior angles must be equal to 180 degrees

substitute

Applying the law of sines

substitute



Par 6)
see the attached figure with letters to better understand the problem
<u><em>Applying the law of sines in the right triangle BDC</em></u>
In the right triangle BDC 20 degrees is the complement of 70 degrees

-----> equation A
<u><em>Applying the law of sines in the right triangle ABC</em></u>
In the right triangle ABC 50 degrees is the complement of 40 degrees

-----> equation B
Equate equation A and equation B and solve for x

<u><em>Find the value of BC</em></u>


therefore
The height of the tree is 18.12 m