Answer:
1) not diverges
2)not diverges
3) diverges
4)not diverges
Step-by-step explanation:
In geometric series, If the |r|<1 then the series is convergent and if |r|>1 then the series is divergent
Where r is the ratio between the consecutive terms of series.
1) 3/5 + 3/10 +3/20 + 3/40 ......
in the above geometric series
r= (3/10) / (3/5)
= 1/2
= 0.5
As |r|= 0.5 < 1, so the series will not diverge
2) -10+4-8/5 + 16/25 -......
in the above geometric series
r= (4) / (-10)
= -2/5
= -0.4
As |r|= 0.4 < 1, so the series will not diverge
3) ∑ 2/3(-4)^(n-1)
in the above geometric series
r= -4
As |r|= |-4| = 4 > 1, so the series will diverge
4) ∑ (-12)(1/5)^(n-1)
in the above geometric series
r=1/5
= 0.2
As |r|= 0.2 < 1, so the series will not diverge !
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:
1.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
A geometric series is one where each term is multiplied by a constant value known as r to get the next term
Sum of n terms of a geometric series is
Sum of infinite series is obtained as the limiting value of this sum when n tends to infinity
We find that only when |r|<1, r power n tends to 0 as n tends to infinity.
Other r power n diverges.
Hence geometric series infinite sum formula is valid only when
|r|<1 since the series sum converges to a finite value
Answer:
Step-by-step explanation:
<u>Total number of oranges:</u>
- 0*5 + 1*8 + 2*6 + 3*6 + 4*3 + 5*2 = 60
<u>Number of baskets:</u>
- 5 + 8 + 6 + 6 + 3 + 2 = 30
<u>Mean of the distribution of oranges:</u>
Correct choice is d