Answer:
Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this constant is called the common difference
we have
Let
The common difference is
We can write an Arithmetic Sequence as a rule
where
a_n is the nth term
d is the common difference
a_1 is the first term
n is the number of terms
Find the 63rd term of the arithmetic sequence
we have
substitute
Answer:
Allen go to bed at <u>9:15 p.m</u>.
Step-by-step explanation:
Given:
Allen started his homework at 8:10 p.M. And worked for 45 minutes. Then he phoned a friend and talked for 20 minutes. He went to bed when he finished the call.
Now, to find the time Allen go to bed.
Allen started his homework at 8:10 p.m.
And worked for 45 minutes.
So, to get the time when he finished homework is by adding 45 minutes and the time when he started homework:
Thus, he finished his homework at 8:55 p.m.
Then he phoned a friend and talked for 20 minutes and went to bed when he finished the call.
<em>As, 1 hour = 60 minutes.</em>
Now, to get the time when he go to bed by adding 20 minutes and the time when he finished homework:
Therefore, Allen go to bed at 9:15 p.m.
Given:
The equation of a line is
To find:
The slope and y-intercept of the line.
Solution:
We have,
...(i)
The slope intercept form of a line is
...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
Slope of the line = 1
y-intercept of the line = -4
The coordinate form of y-intercept is (0,b). So, the y-intercept of the given line is (0,-4).
Therefore, the slope of the line is 1 and the y-intercept is (0,-4).