suppose a set of 10 beads were laid in a line where each successive bead had a diameter that was 3/4 of the diameter of the previous bead. If the first bead had a diameter of 24mm, determine the total length of the line of the beads. Express your answer to the nearest millimetre.
6 years ago
Answered By Alex V
If I'm understanding this correctly you need to set up a sum series function:
6 years ago
Answered By Alex V
If I'm understanding this correctly you need to set up a sum series function:
$\sum_{x=0}^9=24mm\left(\frac{3}{4}\right)^x$∑x=09=24mm(34 )x
Note that the end of the series is 9, because for many series calculations the end of the series is (x-1).
Plug this formula into your calculator, or an excel sheet if you can, and you should get an answer of 90.59mm which makes the answer: Distance = 91mm.
6 years ago
Answered By Xuezhong J
this is a question about the sum of geometric series. In this question, a1=24, r=3/4,
S10=a1(1-r9)/(1-r), you can the answer easily using calculator.