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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