3 years ago

What is the explicit rule for the arithmetic sequence shown in the graph ?

Mathematics

2 answers:

Elan Coil [88]3 years ago

7 0

The answer is number 3, an=9.5+2(n-1)

Juliette [100K]3 years ago

7 0

First value 9.5 and a common difference of 2, so

$a_n = 9.5 + 2(n-1)$

Third choice

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Answer:

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Step-by-step explanation:

$\sqrt{5}$ can be represented as $5^{\frac{1}{2}}$ and $\sqrt[3]5}$ can be represented as $5^{\frac{1}{3}}$ . Therefore, the expression can be rewritten as:

$5^{\frac{1}{2}}*5^{\frac{1}{3}}$

The rule for multiplying two exponents with the same base is you add the exponents. For example: $x^m*x^k=x^{m+k}$

We can use the same property to get:

$5^{\frac{1}{2} +\frac{1}{3}}$

which is just $5^\frac{5}{6}$ after you add the fractions

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