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27.06.2019 •
Mathematics
Margo has a coin collection. she was given 1 coin as a gift, and she adds 3 coins per year. which of the graphs below represents margo's coin collection? graph of line going through 1, 2 and 3, 4 graph of line going through 1, 1 and 3, 3 graph of line going through 1, 4 and 3, 10 graph of line going through 1, 2 and 2, 5
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Ответ:
The graph that represents Margo's coin collection is:
Graph of line going through (1, 4) and (3, 10).
Step-by-step explanation:It is given that:
She was given 1 coin as a gift, and she adds 3 coins per year.
Let a_n denote the amount of Money Margo had in the end of the "nth" year.
According to the given information we have:
and so on.
Hence, we get:
Hence, we get a Arithmetic progression.
with first term as 4 and common difference as 3.
Hence, the graph is:
Graph of line going through (1, 4) and (3, 10).
( Since at n=1 we have:![a_n=4](/tpl/images/0023/6370/dae11.png)
and at n=3 we have:
)
Ответ: