Respuesta :
Total number of shows Jonah has recorded after w weeks is 26+6w
What is Arithmetic progression?
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant
Given,
Jonah has recorded 32 shows using his cable television server
Initial term a= 32
Each week he records 6 new shows
Common difference d=6
Sequence is in arithmetic progression
nth term = a+(n-1)d
Therefore,
Total number of shows Jonah has recorded after w weeks
=32+(w-1)6
=32+6w-6
=26+6w
Hence, the Expression to show the total number of shows Jonah has recorded after w weeks is 36+6w
Learn more about arithmetic progression here
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