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
(4y³ + 4y²+8)(6y - 4)
Simplify.
24y⁴ - 16y³ + 24y³ - 16y² + 48y - 32
Add like terms.
24y⁴ + (-16y³ + 24y³) -16y² + 48 - 32
Simplify.
24y⁴ + 8y³ - 16y³ + 16
~Hope I helped!~
Answer:
60 × 50 = 3000
7 × 50 = 350
60 × 4 = 240
7 × 4 = 28
3000 + 350 + 240 + 28 =3618
54 × 67 = 3618
Answer:
C
Step-by-step explanation:
Given
m + 5 = 17 ( subtract 5 from both sides )
m = 12 ( multiply both sides by 3 to clear the fraction )
2m = 36 ( divide both sides by 2 )
m = 18 → C
