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    Hello I'm very new to this website but I was wondering if anyone could help me out with my homework? The question goes,..

    "There is a flowerhead at the end of each stem of an oleander plant. The next year, each flowerhead is replaced by three stems and flowerheads.

    (iii) The total number of stems in year 2 is 4, (that is, 1 old one and 3 new ones). Similarly, the total number of stems in year 3 is 13, (that is, 1 + 3 + 9).

    Show that the total number of stems in year 'n' is given by (3^n - 1)/2

    Please help!!
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    (Original post by ela_Roxas29)
    Hello I'm very new to this website but I was wondering if anyone could help me out with my homework? The question goes,..

    "There is a flowerhead at the end of each stem of an oleander plant. The next year, each flowerhead is replaced by three stems and flowerheads.

    (iii) The total number of stems in year 2 is 4, (that is, 1 old one and 3 new ones). Similarly, the total number of stems in year 3 is 13, (that is, 1 + 3 + 9).

    Show that the total number of stems in year 'n' is given by (3^n - 1)/2

    Please help!!
    What have you tried/done so far? You should hopefully know that for a geometric series, the sum of n terms is given by:

    \dfrac{a(1-r^n)}{1-r}

    See if you can use that..
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    Oh, someone actually answered my question! As I said, I am very new to this and did not expect anything so thank you so much! I've already answered the question but thank you for the equation!
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    (Original post by usycool1)
    What have you tried/done so far? You should hopefully know that for a geometric series, the sum of n terms is given by:

    \dfrac{a(1-r^n)}{1-r}

    See if you can use that..

    • Oh, someone actually answered my question! As I said, I am very new to this and did not expect anything so thank you so much! I've already answered the question but thank you for the equation!



 
 
 
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