Answer:
1,3,6,10,15,21,…..
These are all the sum of natural numbers upto the n
So, in this series
1st Term = 1
2nd Term = 1+2 = 3
3rd Term = 1+2+3 = 6
4th Term = 1+2+3+4 = 10
So,
Term - n = 1+2+3+….+n = n(n+1)/2
That’s your answer n(n+1)/2
Good Luck
Step-by-step explanation:
The answer to the question is
(5a^2-4)(25a^4+20a^2+16)
Answer:
3 ft
Step-by-step explanation:
It is because 3 times 18 is 54 and 3 is 15 less than 18
Our approach will be to write the desired equation in point-slope form, then simplify that to the desired slope-intercept form.
A perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The slope of the given line is the coefficient of x, which is 4/3. Turn this upside down and give it the opposite sign and you get -3/4. This is the slope of your perpendicular line.
In point-slope form the equation for a line with slope m through point (h, k) can be written
... y = m(x -h) +k
You want a line with m = -3/4 and (h, k) = (8, -8). We can simply fill in these values to get your line in point-slope form.
... y = (-3/4)(x -8) +(-8)
Now, we can eliminate parentheses to put this into the slope-intercept form you need.
... y = (-3/4)x +6 -8 . . . . use the distributive property. Then collect terms to get ...
... y = (-3/4)x -2
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The attached graph shows this line goes through the given point and is perpendicular to the given line.