Mapiya writes a series of novels. She earned $\$ 75,000$ for the first book, and her cumulative earnings double with each sequel that she writes.

Write a function that gives Mapiya's cumulative earnings $E(n)$, in dollars, when she has written $n$ sequels.
Do not enter commas in your answer.
$$
E(n)=
$$
$\square$

Question

Mapiya writes a series of novels. She earned $\$ 75,000$ for the first book, and her cumulative earnings double with each sequel that she writes.

Write a function that gives Mapiya's cumulative earnings $E(n)$, in dollars, when she has written $n$ sequels.
Do not enter commas in your answer.
$$
E(n)=
$$
$\square$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the function for Mapiya's cumulative earnings $E(n)$, we start with her initial earnings of $75,000 for the first book. ‖ ‖ step 2 ⋮ Since her earnings double with each sequel, the cumulative earnings after $n$ sequels can be represented as $75,000 imes 2^n$. ‖ ‖ step 3 ⋮ Therefore, the function for Mapiya's cumulative earnings $E(n)$ is $E(n) = 75000 imes 2^n$. ‖ ∻Answer∻ ⚹ $E(n) = 75000 imes 2^n$ ⚹ ∻Key Concept∻ ⚹Geometric Sequence⚹ ∻Explanation∻ ⚹Mapiya's cumulative earnings follow a geometric sequence where each term is double the previous term, starting with $75,000 for the first book.⚹◊What is the formula to calculate Mapiya's cumulative earnings $E(n)$ after writing $n$ sequels⍭ Generate me a similar question◊

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