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1 answer:
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The sum of the first 8 terms is 2.51 to the nearest hundredth
Step-by-step explanation:
In the geometric sequence there is a constant ratio between each two consecutive terms
The formula of the sum of n terms of a geometric sequence is:
, where
- a is the first term
- r is the constant ratio between the consecutive terms
∵ The sequence is 6 , -5 , 25/6 , .............
∵ -5 ÷ 6 =
∵ ÷ -5 =
- There is a constant ratio between the consecutive terms
∴ The sequence is a geometric sequence
∵ The first term is 6
∴ a = 6
∵ The constant ratio is
∴ r =
∵ We need to find the sum of 8 terms
∴ n = 8
- Substitute the values of a, r and n in the rule above
∴
∴
- Round it to the nearest hundredth
∴
The sum of the first 8 terms is 2.51 to the nearest hundredth
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
#LearnwithBrainly
Answer:
Step-by-step explanation:
a. when t=0,h=3ft
c.t=47/32 sec
d.
time taken to fall 2301/64 ft=0*t+\frac{1}{2}*32*t^2
t^2=\frac{2301}{64*16}
t=\frac{\sqrt{2301}}{8*4}=\frac {47.97}{32}
total ~time=\frac{47+47.97}{32}=\frac{94.97}{32} sec