HELP ME Which of the following choices is the explicit formula for the following geometric sequence? -0.1, 0.04, -0.016, 0.0064, -0.00256, ... A.an = 0.1(-0.4)n-1 B.an = -0.1(0.4)n-1 C.an = 0.1(0.4)n D.an = 0.4(-0.4)n-1 E. an = -0.1(-0.4)n-1

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HELP ME Which of the following choices is the explicit formula for the following geometric sequence? -0.1, 0.04, -0.016, 0.0064, -0.00256, ... A.an = 0.1(-0.4)n-1 B.an = -0.1(0.4)n-1 C.an = 0.1(0.4)n D.an = 0.4(-0.4)n-1 E. an = -0.1(-0.4)n-1

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first find the common ratio 0.04/-0.1=?
the explicit formula for a geometric sequence is \(\Large a_n=ar^{n-1}\) a is the first term and r is the common ratio
ok wait

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a=-0.1
r=?
0.4?
no
i mean 1
-0.4
ok but that next number is gonna be a positive
yeah and it is positive there is an oscillation of sign because of that negative
o ok i got you
-0.1x-0.4=0.04 0.04x-0.4=-0.0016....
you continue like that to generate as many term as you like
so its a
so r=-0.4
no A is incorrect
first term is -0.1 not 0.1
ok wait
so e
yes!
thx ima tag you my next question later on
np:)

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