In compound interest, time is divided into interest periods. During each period, interest is earned at a certain rate per interest period. For example, if you borrow $1,000 and the interest rate is 2% per quarter, the interest accumulated after one quarter would be $1,000(0.02)=$10, and the total amount of money you would owe back after one quarter would be found by $1,000(1.02)'; after three quarters, $1,000(1.02)³; and in general, after n quarters $1,000(1.02)". In the geometric sequence described above, what are a1 and r? (Where r is representing the common ratio, not interest rate.) aj = r =

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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In compound interest, time is divided into interest periods. During each period, interest is earned at a
certain rate per interest period. For example, if you borrow $1,000 and the interest rate is 2% per quarter,
the interest accumulated after one quarter would be $1,000(0.02)=$10, and the total amount of money you
would owe back after one quarter would be found by $1,000(1.02)'; after three quarters, $1, 000(1.02)³; and
in general, after n quarters $1,000(1.02)".
In the geometric sequence described above, what are a1 and r? (Where r is representing the
common ratio, not interest rate.)
Aj =
r =
Transcribed Image Text:In compound interest, time is divided into interest periods. During each period, interest is earned at a certain rate per interest period. For example, if you borrow $1,000 and the interest rate is 2% per quarter, the interest accumulated after one quarter would be $1,000(0.02)=$10, and the total amount of money you would owe back after one quarter would be found by $1,000(1.02)'; after three quarters, $1, 000(1.02)³; and in general, after n quarters $1,000(1.02)". In the geometric sequence described above, what are a1 and r? (Where r is representing the common ratio, not interest rate.) Aj = r =
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