Greg just moved into an old house and found a mysterious trunk in the attic. the lock on the trunk has a dial numbered 1 to 60. greg found the note shown at right line near the trunk. greg find out the three numbers needed to open the lock

lock combination top secret.
1st number: 3×
2nd number: 5×-1
3rd number: ×2+4
hint: ×=6

1st: 18 
2nd: 29
3rd: 16
How I did it;
1st: 3x. If x=6 then it's 3 times 6=18
2nd:5x-1. 5 times 6=30 -1=29
3rd:x2+4. 6 times 2=12+4=16
Hope this was helpful

X= 2 he can buy 2 packs of cards for $12 and an action figure for $3 so he would spend $15 in total plus the free poster

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step-by-step explanation:

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

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

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

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