There are 12 pieces of fruit in a bowl. five are lemons and the rest are limes. you choose a piece of fruit without looking. the piece of fruit is a lime

Step-by-step explanation:

The probability of picking a lime from the bowl can be calculated by the number of limes divided by the total number of fruit:

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step-by-step explanation:

you know what it isnt great cheating

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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