Two musical instruments,
and
, consist of metal bars of decreasing lengths
The first bar of instrument A has length
and the lengths of the bars form a geometric progression. The
bar has length
. Show that the total length of all the bars must be less than
, no matter how many bars there are.
Instrument B consists of only
bars which are identical to the first
bars of instrument
Find the total length,
, of all the bars of instrument
and the length of the
bar
Unfortunately the manufacturer misunderstands the instructions and constructs instrument
wrongly, so that the lengths of the bars are in Arithmetic Progression with common difference
. If the total length of the
bars is still
, and the length of the
bar is still
, find the value of
and the length of the longest bar
Mapel:Matematika
Kelas :12
Mapel:Deret geometri dan Aritmatika
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