We can drop the absolute value and the signs, and the integer part if they're all the same, and then make a common denominator and check for a decreasing sequence.
10/12, 7/12, 5/12 -- Check decreasing
3 1/3, 3 2/3, 2 2/3 -- nope, increases then decreases
6 5/7, 6 3/7, 5 2/7 - Check, decreasing
11 7/10, 11 6/10, 10 3/10 -- Check, decreasing
Answer: A,C,D
Answer:
Step-by-step explanation:
r is the common ratio.
Third term minus first term is 48.
a₃ - a₁ = 48
a₃ = a₁r²
a₁r² - a₁ = 48
a₁(r²-1) = 48
r²-1 = 48/a₁
Fourth term minus second term is 144.
a₄ - a₂ = 144
a₂ = a₁r
a₄ = a₁r³
a₁r³ - a₁r = 144
a₁r(r²-1) = 144
r²-1 = 144/(a₁r)
48/a₁ = 144/(a₁r)
r = 3
:::::
r²-1 = 48/a₁
a₁ = 6
:::::
a₆ = a₁r⁵ = 1458
Answer:
what are the choices?? if you don't mind me asking
Answer:
d. 28
Step-by-step explanation:
7<em>x</em> = 3<em>x</em> + 16
subtract 3<em>x</em> from both sides: 4<em>x</em> = 16
divide both sides by 4: <em>x</em> = 4
plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28
