3. CARD GAME [Help] Imagine that you are the manager of a carnival. One of the game operators has designed a new game. In
this game, players pick one card out of an ordinary deck of 52 playing cards. An ace wins $10, a face
card (K, Q, or J) wins $1, and all other cards win nothing. Determine the cost to play this game in order to
make it a fair game.

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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

ljn

step-by-step explanation: