Question reminder: Using the formula from a) tn = 100(0.8)~1, substitute 9 in for n to find the 9th term: to = 100(0.8)n-1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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please show me every step to this question, im confused how we get the number 0.16777216

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Question reminder:
Using the formula from a) t, = 100(0.8)*-1, substitute 9 in for n to find the 9th term:
tn = 100(0.8)n-1
t, = 100(0.8)°-1
t9 = 100(0.8)
to = 100(0.16777216)
t9 = 16.777216
t9 = 16.78
%3D
8
The 9th term in the sequence is 16.78. Notice that the decimal values are not
rounded throughout the calculation of the question, only the final answer is
rounded.
Transcribed Image Text:Solution Question reminder: Using the formula from a) t, = 100(0.8)*-1, substitute 9 in for n to find the 9th term: tn = 100(0.8)n-1 t, = 100(0.8)°-1 t9 = 100(0.8) to = 100(0.16777216) t9 = 16.777216 t9 = 16.78 %3D 8 The 9th term in the sequence is 16.78. Notice that the decimal values are not rounded throughout the calculation of the question, only the final answer is rounded.
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