an=a1+d(n−1) is the explicit and a recursive formula for each sequence .
<h3>What is sequence?</h3>
See the pattern
-32-(-20) = -12
-20-(-8) = -12
-8-4 = -12
By this the explicit and a recursive formula for each sequence is an=a1+d(n−1).
An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.
Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.
An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.
To learn more about arithmetic sequence from the given link:
brainly.com/question/15412619
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Answer:
2√13
Step-by-step explanation:
The distance formula is useful for this. One end of the vector is (0, 0), so the measure of its length is ...
d = √((x2 -x1)² +(y2 -y1)²) = √((6 -0)² +(-4-0)²)
= √(36 +16) = √52 = √(4·13)
d = 2√13 = |(6, -4)|
Answer:
Each piece of ribbon lengths 2.55 feet.
Step-by-step explanation:
A 30-foot piece of ribbon that Elena has cut for a craft project. Then she cuts off 7 feet from this.
So, the remaining length of the ribbon for the craft project will be (30 - 7) = 23 feet.
Now, then she cuts the remaining piece into 9 equal lengths of feet each.
Hence, each piece of ribbon lengths 
feet. (Answer)
Answer:
Binomial = 0.8724
Normal approximation = 0.873
Step-by-step explanation:
Given that :
Sample size (n) = 20
p = 0.6
q = 1 - p = 1 - 0.6 = 0.4
.using normal approximation :
Mean = np
Mean (m) = 20 * 0.6 = 12
Standard deviation (s) = √npq
s = √(20 * 0.6 * 0.4) = 2.1908902
Probability of 10 or more lines in use :
p(x ≥ 10)
Applying for correction:
p(x ≥ 10 - 0.5) = p(x ≥ 9.5)
Using the z formula :
Z = (x - m) / s
Z = (9.5 - 12) / 2.1908902
Z = - 1.141
p(Z > - 1.141) = 0.87307 (Z probability calculator)
p(Z > - 1.141) = 0.873
Using the binomial distribution :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
p(x ≥ 10) = p(x = 10) + p(x = 11) +.... + p(x = 20)
Using calculator :
p(x ≥ 10) = 0.87247
= 0.873
Your line would go down 2 to the right and 1 over to the right.
Hope this helps.
