Please help its for a math test! I would literally cry if you help me solve these thank you!

Answer is in the file below

cutt.ly/tz3yDpb

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