All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is
Multiply both sides by r :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for :
Then as gets arbitrarily large, the term will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Answer:
75%
36= 100 16= 50% 8= 25%
Lets make percentage = P
(8x x 3x -x ) = ( P x 3x -x) 5 /1/20
= (8 *3) = P x 3 ) x 5 /1/20
reduce = P x 3 x 8 = 24 x 3 x 5 / 1/20
360/24 = 15 x 1/20
5 x 15 = 75%
Step-by-step explanation:
12 please help answer my question which is why is the uks biome like it is?
Answer and Step-by-step explanation:
The area of the tile is 9.
To find the area, we multiply the side by another side.
3 times 3 is equal to 9.
<u><em>#teamtrees #PAW (Plant And Water)</em></u>
