Identify the first five terms of the sequence in which a1 = 5 and an = 2an−1−3 for n ≥ 2.
1 answer:
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Answer:
About $1,178,974
Step-by-step explanation:
Alright, the sequence we have right now is:
500,000 550,000 605,000
We want to find the common ratio, so let's divide 550,000 by 500,000 and see if we get the same value as 605,000 divided by 550,000:
550,000/500,000 = 1.1
605,000/550,000 = 1.1
Now, we know that r = 1.1. We also know the first term is: = 500,000.
We use the explicit rule of a geometric sequence:
Here, we want to find , which means that n = 10. We know r and
, so we just plug in these values:
≈
≈
Thus, the answer is about $1,178,974.
Hope this helps!