Write the first five terms of the geometric sequence.a1 = 6; r = 3

A. 6, 9, 12, 15, 18
B. 6, 18, 54, 162, 486
C. 3, 18, 108, 648, 3888
D. 18, 54, 162, 486, 1458


Answer: B

Mathematics

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Assume that the sequence converges and find its limit.a1 = 6, an + 1 = 

A. -6 B. 1 C. 36 D. 6

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Solve the problem.Hooke's law is applicable to idealized (linear) springs that are not stretched or compressed too far. Consider a nonlinear spring whose restoring force is given by F(x) = 18x - 0.3x3, for |x| ? 9. How much work is done in stretching the spring from its equilibrium position (x = 0) to x = 1.5? Round to two decimal places when appropriate.

A. 38.98 J B. 236.93 J C. 473.85 J D. 19.87 J

Mathematics

Write the ratio in standard ratio form and fractional form and as a simplified fraction.Every two weeks Rudy earns $1300. His paycheck stub shows that $500 was taken out for taxes. Tax Amount : After Tax Income

A. $800 : $500;  ;  
B. $500 : $800;  ;  
C. $800 : $1300;  ;  
D. $500 : $1300;  ;  

Mathematics

Solve.A cyclist bikes at a constant speed for 20 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 25 miles. Find his speed.

A. 6 mph B. 7 mph C. 5 mph D. 4 mph

Mathematics