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3 years ago

Math Vocabulary - Match the word to its definition.

Mathematics

2 answers:

mr Goodwill [35]3 years ago

8 0

Exponents: E.

Terms: A.

Variables: D.

Coefficient: C.

Constant: B.

riadik2000 [5.3K]3 years ago

3 0

Answer:

1. Exponents- e.is the number of times the BASE NUMBER is multiplied by itself.

2. Term- a.is a number by itself or the product of a number and variable (or more than one variable).

3. Variables- d.letters or symbols used in place of a quantity we do not know yet.

4. Coefficient- c.the number in front of a variable

5. Constant- b.is a number that stays fixed in an expression

Step-by-step explanation:

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What is the 9th term of the following geometric sequence? 7/9,-7/3,7,-21,63 ??????

dmitriy555 [2]

Given:

The geometric sequence is:

$\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...$

To find:

The 9th term of the given geometric sequence.

Solution:

We have,

$\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...$

Here, the first term is:

$a=\dfrac{7}{9}$

The common ratio is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{\dfrac{-7}{3}}{\dfrac{7}{9}}$

$r=\dfrac{-7}{3}\times \dfrac{9}{7}$

$r=-3$

The nth term of a geometric sequence is:

$a_n=ar^{n-1}$

Where, a is the first term and r is the common ratio.

Substitute $a=\dfrac{7}{9},r=-3,n=9$ to find the 9th term.

$a_9=\dfrac{7}{9}(-3)^{9-1}$

$a_9=\dfrac{7}{9}(-3)^{8}$

$a_9=\dfrac{7}{9}(6561)$

$a_9=5103$

Therefore, the 9th term of the given geometric sequence is 5103.

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3 years ago