Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r)
Where a is the first term in the series.
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7
Answer:
(x - 3)(x² + 4)
Step-by-step explanation:
x³ - 3x² + 4x - 12 ( factor first/second and third/fourth terms )
= x²(x - 3) + 4(x - 3) ← factor out (x - 3 from each term
= (x - 3)(x² + 4)
Answer:
24
Step-by-step explanation:
m=8x4 n=3x4 so that is the answer
Answer:
1. 3/4 + 3/4 + 3/4 +3/4
2. 0.75 * 4
Step-by-step explanation:
1. add 3/4 four times
3/4 + 3/4 + 3/4 +3/4
2. You can turn 3/4 into a decimal. 3/4 =0.75
0.75 * 4
