Aweekly time ticket for joyce caldwell follows: direct labor time ticket dates: monday 8/12 − friday 8/16, 2016 ticket number: tt338 employee: joyce caidwell date time started time ended total hours job number 8/12/2016 7: 00 am 3: 00 pm 8 hours job 271 8/13/2016 7: 00 am 3: 00 pm 8 hours job 271 8/14/2016 7: 00 am 3: 00 pm 8 hours job 272 8/15/2016 7: 00 am 11: 00 am 4 hours job 272 8/15/2016 12: 00 pm 4: 00 pm 4 hours maintenance 8/16/2016 7: 00 am 3: 00 pm 8 hours job 273 weekly total 40 hours hourly labor rate × $23 total wages earned $920 required: prepare a journal entry to record joyce's wages. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field.)

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66answer:

step-by-step explanation:

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

36

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