helpp withh moree mathh workk .
Find the sum: 4 + 4.8 + 5.76 + 6.912 + ...
a) Infinity
b) 20
c) 24
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Midnight97:
This is a sequence where each term after the first one is obtained by multiplying the previous term by 1.2 (because 4 * 1.2 = 4.8, 4.8 * 1.2 = 5.76, and so on)
Midnight97:
For a geometric sequence, the sum S can be found using the formula...
S= a/1-r
where a is the first term (4) and r is what we multiply it by each time (so 1.2)
The finite sum only exists if r < 1 and since our r is 1.2 which is greater than 1...
luhivqqcherry:
my brain is currently in a different world 😠.
Midnight97:
@luhivqqcherry wrote:
my brain is currently in a different world 😠.
Lol
Midnight97:
If each term in the sequence keeps getting larger as we multiply by 1.2.... and it never stops
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luhivqqcherry:
OHHHHHHHHHHHHHHHHHHHHHHH .
luhivqqcherry:
SO THAT MEANS ITS INFINITY .
Midnight97:
Yes
luhivqqcherry:
MUAJAHAHA TYTYTYYYYY .
Midnight97:
@luhivqqcherry wrote:
MUAJAHAHA TYTYTYYYYY .
You're so welcome (:
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