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Olegator [25]
3 years ago
13

Find an explicit formula for the arithmetic sequence 170,85,0,-85..., d(n)=

Mathematics
1 answer:
irinina [24]3 years ago
8 0

Answer:

d(n) = 85 * ( 3 - n )

Step-by-step explanation:

Let's find the common difference of the terms (if any).

The common difference is = 85 - 170 = 0 - 85 = -85 - 0 = -85

For an arithmatic sequence with first term a, common difference d,

  nth term = a + ( n - 1 ) * d

So, d(n) = 170 + ( n - 1 ) * (-85)

             = 255 - 85n

             = 85 ( 3 - n )

[ If there's any mistake, please inform me ]

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What are the converse, inverse, and contrapositive of the following true conditional? What are the truth values of each?
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For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the converse is 'if a figure is a parallelogram, then it is rectangle.'
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</span>
The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P <span>→ Q is ~P </span><span>→ ~Q.
</span><span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the inverse is 'if a figure is not a rectangle, then it is not a parallelogram.'
As can be seen, the inverse statement is not true, hence the truth value of the inverse statement is false.</span>
</span>
The contrapositive of a conditional statement is switching the hypothesis and conclusion of the conditional statement and negating both. For example, the contrapositive of <span>P → Q is ~Q → ~P. </span>
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