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4 years ago

Write the explicit formula for the nth term of the given geometric sequence.

Mathematics

2 answers:

Alisiya [41]4 years ago

4 0

Answer:

formula: a_n = 5^(n-1)

Step-by-step explanation:

Common ratio = r = 25/5 = 5

a_1 = 1

a_n = a_1 * r^(n - 1)

a_n = 1* 5^(n - 1)

fiasKO [112]4 years ago

3 0

B. 5^n-1 is the answer.

EG. 2020

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What is the common ratio of the geometric sequence 6,4,8/3,16/9,...

horrorfan [7]

Answer:

r=2/3

Step-by-step explanation:

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3 years ago

Given: 2x + 11 = 15 Prove: x = 2 Statements Reason 1. 2x + 11 = 15 1. Given 2. 2x = 4 2. 3. X = 2 3. Division Property of Equali

wariber [46]

Answer:

Statements Reasons

1. 2x + 11 = 15 1. Given

2. 2x = 4 2. Subtraction Property of Equality

3. X = 2 3. Division Property of Equality

Step-by-step explanation:

An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.

Begin your proof listing the any information given to you. List as the reason - Given.

Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.

Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.

Statements Reasons

1. 2x + 11 = 15 1. Given

2. 2x = 4 2. Subtraction Property of Equality

3. X = 2 3. Division Property of Equality

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3 years ago

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adoni [48]

Answer:

Step-by-step explanation:

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aleksklad [387]

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3 years ago

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which of the following properties could be used to rewrite the expression (2/3•1/5)•5/2 as 2/3•(5/2•(5/2•1/5) sorry to ask Su ma

slamgirl [31]

The original expression is given by:
$( \frac{2}{3}*\frac{1}{5})*\frac{5}{2}$
The correct way to rewrite the expression is given by:
$\frac{2}{3}*(\frac{5}{2}*\frac{1}{5})
$
For this, we use two properties:

Associative property:
The way of grouping the factors does not change the result of the multiplication:
$\frac{2}{3}*(\frac{1}{5}*\frac{5}{2})$

Commutative property:
The order of the factors does not vary the product:
$\frac{2}{3}*(\frac{5}{2}*\frac{1}{5})$

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4 years ago