Randy saved 2/3 of the money he earned from shoveling snow this winter plus an additional $50 that he got on his birthday. He saved $173 in all how much did Randy earn shoveling snow? a) $82
b) $98
c) $184.50
d) $209.50

step-by-step explanation:

d

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step-by-step explanation:

what is the original number? you forgot to add it.

, 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