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Suppose that we have the following sequence : a_1=1 a_n=1/2 a_(n-1) , for n>1 We define a new sequence as such : b_1=a_1 b_n=b_(n-1)+a_n Find the 50th term of the sequence b_n. Find the 1000000th term
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Sep 4, 2018
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Suppose that we have the following sequence :
a_1=1
a_n=1/2 a_(n-1) , for n>1
We define a new sequence as such :
b_1=a_1
b_n=b_(n-1)+a_n
Find the 50th term of the sequence b_n.
Find the 1000000th term of the sequence b_n.
Mathematics
middle-school
Balexandre
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We have
which is the first term in the sequence
where
is the term in the sequence
which is the first term in the
sequence
term of
- we work this out from the first term
- we work this out from the first term
Hence
The
term is
from
Hence,
Ellet
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Sep 8, 2018
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Ellet
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