Osborne Davies
02/12/2023 · Junior High School

A coin is dropped from a very tall tower. It travels a distance of 5 m in the first second, 15 m in the next second, 25 m in the third second et cetera. (1) What is the distance travelled by the coin during the fourth second? (2) Determine a formula for the distance travelled by the coin in the \( n \)-th second. Lesego decides to start saving money. He saves R150 in the first month, R170 in the second month, R190 in the third month et cetera. He maintains this pattem for 3 years. (1) How much money does Lesego save in the fifth month? (2) Determine a formula for the amount of money Lesego saves in the \( n \)-th month. (3) How much money will Lesego save in the 20 th month? (4) In which month will Lesego save R730?

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1. The distance travelled by the coin during the fourth second is 35 m. 2. The formula for the distance travelled by the coin in the \( n \)-th second is \( d_n = 10n - 5 \). 3. Lesego saves R230 in the fifth month. 4. The formula for the amount of money Lesego saves in the \( n \)-th month is \( S_n = 20n + 130 \). 5. Lesego saves R530 in the 20th month. 6. Lesego will save R730 in the 30th month.

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