The nth term of the sequence whose integers are between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹
<h3>What are consecutive numbers?</h3>
Consecutive numbers are those numbers that succeed each other in increasing order from least to greatest. The numbers that are given:
- 1, 2, 3, 4, 5, 6, or 7 are all consecutive.
Now, suppose a (n) denotes the number of n-digit positive integers as stated in the question, thereby using:
- 1, 2, 3, 4, 5, 6, or 7 with the permission of repetition; no two consecutive digits are even.
Then, the number of n can be computed as n!
= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)
= 1.254 × 10¹¹
Learn more about consecutive numbers here:
brainly.com/question/26352026
<span>56/97 are boxcars, 41/97 are not boxcars. Neither fraction will reduce, so 41/97 is the correct fraction of cars that are not boxcars.</span>
Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.
Square, hypotenuse, legs, right triangle... the pythagorean theorem states that the square of the hypotenuse equals the sum of the two legs