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A movie earns $100 million the first week it is released. The movie earns $20 million less each additional week. Write an equation for the nth term of the arithmetic sequence. Let n represent the position in the sequence and let an represent the movie's weekly earnings (in millions of dollars).

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Answer:

The nth term of arithmetic sequence is:

aₙ=80+20n

Step-by-step explanation:

In order to find the nth term we have to find the sequence first

Arithmetic Sequence nth term:

aₙ=a₁ + (n-1)d

Where:

aₙ is the nth term of sequence

a₁ is the first term of sequence

n is the number of term

d is the difference in the sequence

The sequence will become::

a₁=100, a₂=80, a₃=60...............aₙ

So d=20

aₙ=100 + (n-1)20

aₙ=100 +20n -20

aₙ=80+20n

The nth term of an arithmetic sequence is aₙ=80+20n

  • The calculation is as follows:

Arithmetic Sequence nth term:

aₙ=a₁ + (n-1)d

here:

aₙ is the nth term of sequence

a₁ is the first term of sequence

n is the number of term

d is the difference in the sequence

Now the sequence should be

a₁=100, a₂=80, a₃=60...............aₙ

So d=20

aₙ=100 + (n-1)20

aₙ=100 +20n -20

aₙ=80+20n

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