Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In order to maintain this exact average, what must be Marlon’s score for his 6th game?

240

Step-by-step explanation:

Right now, Marlon's average is (210 + 225 + 254 + 231 + 280) / 5 = 240. To maintain that average, the sum of Marlon's scores after 6 games must be 240 * 6. Currently, the sum of Marlon's scores is 240 * 5 so he must score a 240 * 6 - 240 * 5 = 240(6 - 5) = 240 * 1 = 240 for his last game.

22 dimes and 9 nickels

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for