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).
Accepted Solution
A:
Answer:The nth term of arithmetic sequence is:aₙ=80+20nStep-by-step explanation:In order to find the nth term we have to find the sequence firstArithmetic Sequence nth term:aₙ=a₁ + (n-1)dWhere:aₙ is the nth term of sequencea₁ is the first term of sequencen is the number of termd is the difference in the sequenceThe sequence will become::a₁=100, a₂=80, a₃=60...............aₙSo d=20aₙ=100 + (n-1)20aₙ=100 +20n -20aₙ=80+20n