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2 years ago

Hippalectryon

Mathematics

1 answer:

FrozenT [24]2 years ago

8 0

Add the who numbers: 4 + 2 = 6

You are correct, it's C. 6

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10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

5 0

2 years ago

2. Evan solved the equation above. He ended up with an improper fraction as his product. Help Evan convert his improper fraction

Goryan [66]

I think it would be like how many times does 5 go into 48.. and that would be 9 and 3/5

4 0

2 years ago

Which of the following is a solution for the absolute value inequality |2x – 3| > 6?

Mice21 [21]

This breaks into two inequalities:

2x - 3 > 6

and

-2x + 3 > 6

------------------------

2x - 3 > 6

Add 3 to both sides:

2x > 9

Divide 2 to both sides:

x > 4.5

-----------------------

-2x + 3 > 6

Subtract 3 to both sides:

-2x > 3

Divide -2 to both sides:

x < -1.5

3 0

2 years ago

Read 2 more answers

To rent an instrument from the school it costs a $50 insurance fee and then $350 per day of use. If Sally rents her instrument f

Ne4ueva [31]

Answer:

$2,500

Step-by-step explanation:

$350 per day for 25 days

350*25=2450

Add the 50 for insurance and that makes it 2500

If its wrong im sorry

5 0

2 years ago

Read 2 more answers

If each of the following sequences is either arithmetic or geometric, continue the decimal patterns.

I am Lyosha [343]

Answer:

12.8, 11.6, 10.4, 9.2, 8.0, 6.8, 5.6

3, 1.5, 0.75, 0.375, 0.1875, 0.09375, 0.046875

Step-by-step explanation:

The first one is arithmetic as the pattern is deducting 1.2, second one is geometric as it is dividing 2.

4 0

2 years ago