Answer:
The line equation in slope-intercept form is:
Hence, option D is true.
Step-by-step explanation:
Given the points
Finding the slope between the points
As the y-intercept is obtained by setting the value x = 0.
As we know that when x = 0, the vale of y-intercept y = 4
so the y-intercept is b = 4.
As the slope-intercept form is
substituting the slope m = -2/5 and the y-intercept b=4
Therefore, the line equation in slope-intercept form is:
Hence, option D is true.
Answer:
a₈ = 37
Step-by-step explanation:
The given arithmetic sequence is: 3, 8, 13, 18, 23, . . .
The recursive formula for the sequence is:
Here, represents the
of the sequence.
And, represents the
of the sequence.
'+5' denotes that '5' is added to the term to get the
term. In other words, the difference between two consecutive numbers in the sequence is 5.
Now, we are asked to find a₈ i.e., n =8.
Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.
So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.
⇒ a₆ = 23 + 5 = 28.
⇒ a₇ = 28 + 5 = 32.
⇒ a₈ = 32 + 5 = 37.
Therefore, the term of the sequence is 37.
Answer:
671 is the 224th term of the given series
Step-by-step explanation:
The given sequence is
2,5,8,11....
First term that is 2
common difference that is 3
we have to find 224th term
That is n =224
using
On solving the above equation we get
Hence, 224th term of the given series is 671