WILL GIVE BRAINLIEST HELP I NEED THE PROCEDURE ALSO 5-6 of the 42 puppies took a nap how many puppies did not take a nap
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Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = =
=
= -
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × - = - 36
a₆ = - 36 × - = 6
We can employ a simple repeated decimal trick:
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Alternatively, we can compute the partial sum of the series.
As , the second term vanishes and we're left with
. Notice that this is really just a more formal version of the earlier trick.