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IrinaVladis [17]
3 years ago
7

What are the values of a 1 and r of the geometric series? 1 + 3 + 9 + 27 + 81

Mathematics
2 answers:
hammer [34]3 years ago
4 0

Answer:

a₁ = 1; r = 3

Step-by-step explanation:

a₁ represents the first term. It is 1 in this case.

r represents the common ratio between terms. In this case it's 3 / 1 = 3.

zysi [14]3 years ago
3 0

Answer:

a1 = 1

r = 3

Step-by-step explanation:

a1 = first term = 1

r = common ratio = 2nd term/1st term

  = 3/1

r = 3

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Which expressions are equivalent to 2(b+3c)?
Rina8888 [55]

Answer:

B. (b+3c)+(b+3c)

C. 2(b)+2(3c)

Step-by-step explanation:

we have

2(b+3c)

Distribute the number 2

2(b+3c)=2b+2(3c)=2b+6c

Verify each case

case A) 3(b+2c)

distribute the number 3

3(b+2c)=3b+3(2c)=3b+6c

3b+6c \neq 2b+6c

therefore

Choice A is not equivalent to the given expression

case B) (b+3c)+(b+3c)

Combine like terms

b+3c)+(b+3c)=(b+b)=(3c+3c)=2b+6c

2b+6c= 2b+6c

therefore

Choice B is equivalent to the given expression

case C) 2(b)+2(3c)

Multiply both terns by 2

2(b)+2(3c)=2b+6c

2b+6c= 2b+6c

therefore

Choice C is equivalent to the given expression

6 0
2 years ago
Read 2 more answers
Find the 100th term of the following arithmetic sequence <br> 5.5, 6, 6.5, 7, ...
AysviL [449]

Answer:

  55

Step-by-step explanation:

The n-th term of an arithmetic sequence is given by the formula ...

  an = a1 + d(n -1)

where a1 is the first term (5.5) and d is the common difference (0.5).

So, the n-th term is ...

  an = 5.5 +0.5(n -1) = 5.0 +0.5n

For n = 100, the term is ...

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The 100th term of the sequence is 55.

8 0
3 years ago
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MatroZZZ [7]
6
6 * 0.7 = 4.2
4.2 * 0.7 = 2.94
2.94 * 0.7 = 2.058
2.058 * 0.7 = 1.4406
1.4406 * 0.7 = 1.00842

4.2 + 4.2 + 2.94 + 2.94 + 2.058 + 2.058 + 1.4406 + 1.4406  = 
5 0
2 years ago
How do you explain -2≤2x-4&lt;4
maxonik [38]
-2\leq2x-4 < 4\ \ \ \ \ |add\ 4\\\\2\leq2x < 8\ \ \ \ |divide\ by\ 2\\\\1\leq x < 4

Answer:\boxed{1\leq x < 4\Rightarrow x\in(-\infty;\ 1]\ \cup\ (4;\ \ibfty)}
3 0
2 years ago
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What is the difference between multiplying monomials and adding/subtracting monomials?
mario62 [17]

EX. 3x+3x. You will leave the variable alone. You add the constants (3 and 3). The answer is 6. Because of that x, the answer is 6x.

EX. 3x times 3x. Again you will leave the x alone. You multiply the constants (3 and 3). The answer is 9. Because of the x, the answer is 9x.

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