This problem represents a geometric sequence. Which is always:
a(n)=ar^n where a is the original term, r is the common ratio, and n is the number of terms.
In this case, we wish to know the minimum common ratio which will produce 750000 for the 7th term given that the first term a is you, one :) so we have the equation...
a(n)=r^n using 750000 for a(7) and 7 for n...
750000=r^7 taking the natural log of both sides...
ln(750000)=7(lnr)
lnr=ln(750000)/7
r=e^(ln(750000)/7)
r=6.91 since r must be an integer for this particular problem r=7
So our equation was:
a(7)=7^7=823543
note if we only shared with 6 originally you would fall very short...
a(6)=6^7=279936
