A quadratic pattern has a second term equal to 1,a third term equal to -16 and a fifth term equal to -14
1 answer:
You might be interested in
Answer:
0.75 feet per second.
Step-by-step explanation:
Please find the attachment.
We have been given that a 25-ft ladder is leaning against a wall. We can see from the attachment that ladder forms a right triangle with respect to wall and ground.
So we can set a Pythagoras theorem as:
Now, we need to find the derivative of above equation with respect to time.
Since the adder is moving toward the wall at a rate of 1 ft/sec for 5 sec, so x after 5 seconds would be:
Let us solve for y using Pythagoras theorem.
Take positive square root:
Upon substituting our given values in derivative equation, we will get:
Therefore, the ladder is moving up at a rate of 0.75 feet per second.
Answer:
5th term of sequence = -18
nth term of the sequence = -5n + 7
Step-by-step explanation:
Difference between successive and previous term of the output,
= -3 - 2
= -5
Similarly,
= -5
There is a common difference 'd' = (-5)
Therefore, the sequence formed will be an arithmetic sequence.
First term of the sequence 'a' = 2
Explicit formula of an arithmetic sequence, = a + (n - 1)d [n = input value]
= 2 + (n - 1)(-5)
= 2 - 5n + 5
= -5n + 7
5th term of this sequence,
= 2 - 20
= -18
Therefore, 5th term of sequence = -18
nth term of the sequence = -5n + 7