Practice your math skills regularly by solving the Math Madness Quiz Questions and keep them strong enough to ace your college admissions exams!

# MATH MADNESS QUIZ QUESTION

## If b and c are inversely related and b = 12 when c = 96, what is the value of c when b = 48?

A) 144

B) 12

C) 10

D) 24

E) None of the above

# PREVIOUS MATH MADNESS SOLUTION(S)

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Step 1) Use the following formula to find a geometric sequence pattern:

t_{n} = t_{1} x r^{(n-1)}

Where:

t_{n} = the “nth” term

t_{1} = is the first term

r = the common ratio growth rate

Step 2) Substitute & solve for r:

t_{7} = 2 x r^{(7-1)}

1458 = 2r^{6}

/2 /2

729 = r^{6}

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^{6}√729 = ^{6}√r^{6}

3 = r

Step 3) Now that you have r, find out what the 10^{th} term will be at that rate using substitution again:

t_{10} = t_{1} x r^{(n-1)}

t_{10} = 2 x 3^{(10-1)}

t_{10} = 2 x 3^{(9)}

t_{10} = 2 x 19,683

t_{10} = 39,366