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Jlenok [28]
3 years ago
5

What is the 10th term of the arithmetic sequence of 81, 87, 93, ...

Mathematics
2 answers:
murzikaleks [220]3 years ago
8 0
135 is my guess because I barely remember things about arithmetic but I think 135
m_a_m_a [10]3 years ago
5 0

Answer:

135

Step-by-step explanation:

An arithmetic sequence is a list of numbers with a definite pattern.

In this case, the numbers increase at a constant rate of 6.

The first term of the sequence is 81, the second term is 87, and the third term is 93.

To get the tenth term, you can simply count them each,

81, 87, 93, 99, 105, 111, 117, 123, 129, 135

The tenth term of the arithmetic sequence is 135.

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The limit of this as h\to 0 is

\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}} (since all the other terms involve h and vanish to 0.)

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