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# Discrete Mathematics

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Feb 6, 2024

#1
+961
+1

I don't know if this is the classroom approved method.

A geometric series is formed by multiplying a term by a number to find the next term.

So, if we call that multiplyer number x, then a series would look like this.

1st number times x  =  2nd number

2nd number times x  =  3rd number

3rd number times x  = 4th number

4th number times x  =  5th number

By this we can see that 1st number times x4  =  5th number

Now that we have a principle established, let's substitute

the specific numbers given in the above problem

48 times x4  =  243/16

48x4  =  243/16

x4  =  243/(16)(48)

x  =  (243/768)1/4

Using my scientific calculator

to take the fourth root                        x  =  0.75

The series is    48,  362720.25,  15.1875

Note that 15.1875 is the same as 243/16

.

Feb 6, 2024

#1
+961
+1

I don't know if this is the classroom approved method.

A geometric series is formed by multiplying a term by a number to find the next term.

So, if we call that multiplyer number x, then a series would look like this.

1st number times x  =  2nd number

2nd number times x  =  3rd number

3rd number times x  = 4th number

4th number times x  =  5th number

By this we can see that 1st number times x4  =  5th number

Now that we have a principle established, let's substitute

the specific numbers given in the above problem

48 times x4  =  243/16

48x4  =  243/16

x4  =  243/(16)(48)

x  =  (243/768)1/4

Using my scientific calculator

to take the fourth root                        x  =  0.75

The series is    48,  362720.25,  15.1875

Note that 15.1875 is the same as 243/16

.

Bosco Feb 6, 2024