Answer:
a. T1 = -4 , T2 = -4/3 , T3 = -4/9 , T4 = -4/27
b. It is converge
c. The sum to ∞ = -6
Step-by-step explanation:
a.
∵ Tn = -4(1/3)^(n-1)
∵ The lower n = 1
∵ The geometric series Tn = a(r)^(n-1)
∴ T1 = a , T2 = ar , T3 = ar² , T4 = ar³
∴ a = -4 , r = 1/3
∴ T1 = -4
∴ T2 = -4(1/3) = -4/3
∴ T3 = -4(1/3)² = -4/9
∴ T4 = -4(1/3)³ = -4/27
b.
r = 1/3
∴ -1 < r < 1
∴ It is converge because the value of 1/3 when n is a very large
number will approach to zero
c.
∵ The sum of the geometric series = a(1-(r)^n)/1-r
∵ r^n ≅ 0 when n is a very large number
∴ The sum to ∞ = a/1 - r = -4/(1 - 1/3) = -4/(2/3) = -6
Answer:
$3.50
Step-by-step explanation:
Store X:
0.15*35 = 5.25
35-5.25 = 29.75 dollars
Store Y:
0.05*35 = 1.75
35-1.75 = 33.25 dollars
Total difference:
33.25-29.75 = 3.50 dollars
Answer:
At least 12
Step-by-step explanation:
25 percent of 150 is 37.50. 0.25 X 150
450/37.5 = 8
Answer:
9, 4.5 x 2 = 9
4.5 = 45 tenths and 0.5 = 5 tenths
5 tenths x 9 = 45 tenths
4.5/0.5 = 9
6.3/0.9 = 7, 0.9 x 7 = 63, 63 / 0.9 = 7
Step-by-step explanation:
a distinct section of a piece of writing, usually dealing with a single theme and indicated by a new line, indentation, or numbering.