Answered

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Which represent geometric sequences? check all that apply.
a. 3/16, 3/8, 3/4, 3/2, . . .
b. 13/20, 10/20, 7/20, 4/20, . . .
c. 2, 4, 6, 8, . . .
d. 3, 9, 27, 81, . . .
e. f(x) = x/4 -9
f. f(x) = -4(4/9)^x
g. f(x) = -4/9x^4

Sagot :

batolisis

Only three are geometric sequences, a which is 3/16, 3/8, 3/4, 3/2, d which is 3,9,27,81 and f which is -4(4/9)^x

What is a geometric sequence?

A geometric sequence is a sequence of numbers or functions in which successive member differ by a constant term called the common ratio.

Analysis:

For a, the first term is 3/16, second term is 3/8. if we divide the second term by the first we have 2. If we do same with the third and second we still have 2. so this is a geometric sequence

For d, if we divide 9 by 3 we have 3, if we divide 27 by 9 we have 3. so this is a geometric sequence.
For f, if we make x equal to a nonzero integer, we have first term as -16/9, second term as -64/81 and third term as -256/729. if we divide the second term by the first we have -4/9, if we divide the third by the second we have-4/9.

In conclusion, Only three are geometric sequences, a which is 3/16, 3/8, 3/4, 3/2, d which is 3,9,27,81 and f which is -4(4/9)^x

Learn more about geometric sequence: brainly.com/question/9300199

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