Option B is the answer
Step-by-step explanation:
Assuming it is a geometric series
A geometric series will converge if -1< r < 1 written as |r| < 1 .That is if the common ratio is between -1 and 1 like 1/2...For example : 1/2 + 1/4 + 1/8 + ...
if the common ratio, r is greater than 1 or less than -1, the terms of the series become larger and larger in magnitude. The sum of the terms also gets larger and larger, and the series has no sum. The series diverges. For example : 4+ 40+ 400+ 4000 +... The common ration here is 10 and the series diverges. That implies that option C and D are out
For example :
If is r is equal to 1 , that is |r|=1 , all of the terms of the series are the same. For example , 2+2+2+2+... The series diverges.
And the first term doesn't affect the convergence of the series..that implies that option A is out
A series converges if and only if the absolute value of the common ratio is less than one: |r|<1
Given triangle ABC with coordinates A(−6, 4), B(−6, 1), and C(−8, 0), and its image A′B′C′ with A′(−2, 0), B′(−5, 0), and C′(−6,
Zinaida [17]
Answer:
The line of reflection is at y = x+6.
Step-by-step explanation:
The perpendicular bisector of AA' is a line with slope 1 through the midpoint of AA', which is (-4, 2). In point-slope form, the equation is ...
y = 1(x +4) +2
y = x + 6 . . . . . . . line of reflection
Answer:
80*
80*
75*
120*
Step-by-step explanation:
both angle 1 and 2 for the first image have the same value as the other angle of 80* because it is a set of parallel lines and one line going through it.
1 on the next set of images is 75* because is is an alternate exterior angle.
2 of the last set of images is 120* because it is same side interior angles.
Answer:
t ≤ 15
Step-by-step explanation:
Let t = tables
6 * 15 + 2* t ≤ 120
90 + 2t ≤ 120
2t ≤ 30
t ≤ 15
