How do you write the first five terms of the geometric sequence a1 = 8; r = 5?

1 Answer
Jan 25, 2016

The first five terms of the given geometric sequence are #8,40,200,1000,5000#.

Explanation:

The general term for a geometric sequence is

#a_n=a_1r^(n-1)#

Where #a_n# is the nth term, #a_1# is first term #r# is the common ratio and #n# is the position or number of the term.

Here #a_1=8# and #r=5#

Put #n=2# #implies a_2=8*5^(2-1)=8*5=40#
Put #n=3# #implies a_3=8*5^(3-1)=8*5^2=8*25=200#
Put #n=4# #implies a_4=8*5^(4-1)=8*5^3=8*125=1000#
Put #n=5# #implies a_5=8*5^(5-1)=8*5^4=8*625=5000#

Hence, the first five terms of the given geometric sequence are #8,40,200,1000,5000#.