How do you find the balance of an account after a certain number of years with compound interest?

Substitute the values into the compound interest formula $$A = P(1 + r/n)^{nt}$$ to find the balance after the specified number of years.

What is the formula for the nth term of a geometric sequence?

The nth term of a geometric sequence is given by $$a_n = a_1 \times r^{(n-1)}$$ , where $$a_1$$ is the first term and $$r$$ is the common ratio.

What is the common ratio in a geometric sequence?

The common ratio is the factor by which each term is multiplied to get the next term in the sequence.

How do you determine the initial population in an exponential growth model?

The initial population is represented by $$P_0$$ in the exponential growth formula $$P(t) = P_0 \times (1 + r)^t$$ .

What does a base greater than 1 indicate in an exponential function?

A base greater than 1 indicates exponential growth.

What does a base between 0 and 1 indicate in an exponential function?

A base between 0 and 1 indicates exponential decay.

How do you express a percentage increase as a decimal for exponential growth?

To express a percentage increase as a decimal, divide the percentage by 100 and add it to 1 (e.g., a 6% increase is expressed as $$1.06$$ ).

How do you express a percentage decrease as a decimal for exponential decay?

To express a percentage decrease as a decimal, divide the percentage by 100 and subtract it from 1 (e.g., a 14% decrease is expressed as $$0.86$$ ).

Exponential Functions & Sequences Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

How do you model population growth with an exponential function?

Back

3.

FLASHCARD QUESTION

Front

What is the difference between growth and decay in exponential functions?

Back

Tags

CCSS.HSF-IF.C.8B

4.

FLASHCARD QUESTION

Front

What is the recursive formula for an arithmetic sequence?

Back

Tags

CCSS.HSF.BF.A.2

5.

FLASHCARD QUESTION

Front

What is the recursive formula for the sequence 80, 83, 86, 89, ...?

Back

Tags

CCSS.HSF.BF.A.2

6.

FLASHCARD QUESTION

Front

How do you calculate the future value of an investment with compound interest?

Back

7.

FLASHCARD QUESTION

Front

What is the formula for exponential decay?

Back

Tags

CCSS.HSF-LE.A.1A

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