The answer to your question is 1466.298
Answer:
- geometric
- common ratio: -5
- a[n]=-5a[n-1]; 625
Step-by-step explanation:
<h3>A.</h3>
We start this problem the way we start all problems: we read the problem statement and observe the given data and relationships.
Here, we observe that the given numbers are all multiples (powers) of 5, <em>with alternating signs</em>. We know that an arithmetic sequence cannot have alternating signs, so this is <em>not an arithmetic sequence</em>.
We are familiar with the first few powers of 5, so we recognize the terms have a common ratio of -5. If terms have a common ratio, they are a geometric sequence, so this is a geometric sequence.
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<h3>B.</h3>
As we observed in Part A, the common ratio is -5.
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<h3>C.</h3>
The full recursive formula will include the initial value in the sequence:
a[1] = -5
a[n] = -5·a[n-1]
Then the next value is ...
a[4] = -5·a[3] = -5·(-125)
a[4] = 625
Answer:
91 animals
Step-by-step explanation:
Because every elephant saw 3 monkeys, there were 9 * 3 = 27 monkeys and because every monkey had 1 tortoise in each hand and we know that monkeys have 2 hands, there were 27 * 2 = 54 tortoises. To find the total number of animals that were going to the river, we can calculate 1 + 9 + 27 + 54 = 91 animals.
Answer:
D
Step-by-step explanation:
In the phrase SOH - CAH - TOA, the SOH stands for "Sine = opposite / hypotenuse", hence, the answer would be 15 / 8.
