N 18 – Karat gold necklace weighs 24 grams: 18 grams of pure gold and six grams of metal alloy. The cost of the necklace is $1200. There is a matching bracelet, weighing 10 grams. a. What should be the cost of the bracelet?
b. How many grams of each, pure gold and metal alloy, should the bracelet contain?

, 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

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .

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your answer would be b