How do you find the next three terms of the sequence 2,10,50,250,1250,...?

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Answer 1 · 2018-05-17T09:04:52

See below

We are dealing with a geometric squence of ratio 5.

#10/2=5#; #50/10=5#; #250/50=5# etc...

We know general term is given by #a_n=a_1r^(n-1)# with #a_1=2# and #r=5#

In our case #a_n=2·5^(n-1)#

Now for

#n=6# #a_6=2·5^5=6250#
#n=7# #a_7=2·5^6=31250#
#n=8# #a_8=2·5^7=156250#