Question

Write one word problem using arithmetic sequences and another using geometric sequences.

Answer 1

An arithmetic sequence word problem
"Daniela received $30 as a birthday present and decided to save the money to buy a new video game console. From the following week onward, she added $12 to her savings each week.Let f(n) be Daniela's savings weeks after her birthday"

Geometric:
Ethan wants to recreate the story of the rice and the chessboard, but he only has a mancala board (which has 14 spaces). If he puts 1 grain of rice in the first space of the mancala board, 2 on the second, 4 on the third, and so on, doubling the amount for each space, how many total grains of rice will be on the board?

The first attachment is how to solve the money problem and the second attachment is the rice problem

Answer 2

Hey There!

If i got this down right,
An = A1 + (n - 1)d
Sn = A1 + A2 + A3 + ... + An
A1 is given by
Sn = n (A1 + An) / 2
For Example

An = A1 + (n - 1)d
= 6 + 3 (n - 1)
= 3 n + 3
n = 50

Hope This Helps!!!