Answer:
The explicit formula
The recursive formula
for 
if 
Step-by-step explanation:
If a sequence is arithmetical then the difference between any of its consecutive terms will be constant
3, 3.25, 3.5, 3.75,
The difference between the consecutive terms remains constant so the sequence is arithmetic.
The explicit formula for an arithmetic sequence is:
Where d is the constant difference between the terms.
is the first term of the sequence.
So
Finally, the recursive formula is:
Answer:
the cyclists rode at 35 mph
Step-by-step explanation:
Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then
distance= speed*time
since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :
time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train
thus denoting v as the speed of the cyclists :
7/8*L / v = L / 40 mph
v = 7/8 * 40 mph = 35 mph
v= 35 mph
thus the cyclists rode at 35 mph
Selections 2, 3, 5, 6 are polynomials.
1 and 4 are not. The coefficients don't have to be integers, but the powers of the variables need to be positive integers. In 1, you have x^-1. in 4, you have x^(1/2).
Triangle EFG can also be proven to be a right triangle by using the following: D. Prove that KL is equal to c by Pythagorean Theorem.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean theorem states that the square of the longest side of a right triangle, which is the hypotenuse (c²) equals the sum of the squares of the other two legs of the right triangle (a² + b²).
If we apply the Pythagorean theorem, we would find the length of KL. If KL has the same length as c in triangle EFG, then we can say that triangle EFG is also a right triangle.
Therefore, the answer is: D. Prove that KL is equal to c by Pythagorean Theorem.
Learn more about the Pythagorean Theorem on:
brainly.com/question/343682
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Answer:
1/6
Step-by-step explanation:
sequence should be 1/6,1/3,1/2,2/3
common difference=1/3-1/6=2/6-1/6=1/6
or 1/2-1/3=(3-2)/6=1/6
or c.d.=2/3-1/2=(4-3)/6=1/6
