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Verified Answer :

NaTaliaBreshae

For this term it will be a6=40

MissPhiladelphia

In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:


an = a1 + (n-1)d


where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.

First,
we need to calculate for d from the given values above.  
a9 = 64 and a12 = 88


an = a1 + (n-1)d

64= a1 + (9-1)d

an = a1 + (n-1)d
88= a1 + (12-1)d

a1 = 0
d = 8
 

The 6th term is calculated as follows:


a6 = 0 + (n-1)d

a6= (6-1)(8)
a6 = 40

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