SOLUTION: please help solve these two problems: sequence 4,8,16,32,64,128… d=2 a sub 1=4 prob #1: a(3) what is a? is that the same as a sub exponent 1 which is 4? prob #2: a(1)+a(7)

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Question 944648: please help solve these two problems:
sequence 4,8,16,32,64,128…
d=2
a sub 1=4
prob #1: a(3) what is a? is that the same as a sub exponent 1 which is 4?
prob #2: a(1)+a(7)
Thank you

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
please help solve these two problems:
sequence 4,8,16,32,64,128…
Note:: This is a Geometric Sequence
r = 8/4 = 2
-----
a(1) = 4
=======
prob #1: a(3) what is a?
a(3) = a*r^2 = 4*2^2 = 16
----------------------------------
prob #2: a(1)+a(7) = 4 + 4*r^6 = 4 + 4*2^6 = 4+4*64 = 4+256 = 260
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Cheers,
Stan H.
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Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

sequence ,,,,,…
---> common multiplier
sub = => sub = which is first term in sequence and first term is
prob #1: => third term which is ; so,
prob #2:
=> we need general formula to find
sequence ,,,,,…using common multiplier could be written as , ,, , .....
so, general formula is:
(for all terms given) where is the number of the term
now find



and will be



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