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Alex777 [14]
3 years ago
12

Which of the following best describes the term induction?

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer:

C. Starting with a given set of rules and figuring out what must be  true . TRUE

Step by step explanation:

Mathematical Induction

Mathematical Induction is a mathematical technique which we can use to prove any given mathematical statement, result, theorem or corollary with help of induction.

Here, we assume the statement to be true for a smaller natural number            (Usually 1) and then prove the statement to be true for ANY ARBITRARY NUMBER say k.

Now, from the given options:

A. Writing down the steps to solve a complicated math problem .

FALSE as the induction method is based on ASSUMPTION and INDUCTION.

B. Forming rules based upon observations and experiences .

FALSE as the induction method is based on ASSUMPTION and INDUCTION.  We need to induce the needed  statement or Result.

C. Starting with a given set of rules and figuring out what must be  true .

TRUE as the induction method is based on ASSUMPTION and INDUCTION.

We try and find out  the result with the given existing data.

D. Reducing the solution to a problem in lowest terms.

FALSE as the induction method is based on ASSUMPTION and INDUCTION.  

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Simplify <br>(8/14 - 2/8) + 1/7​
konstantin123 [22]

Answer:

13/28.

Step-by-step explanation:

(8/14 - 2/8) + 1/7

We can just remove the parentheses and simplify its contents:

=  4/7 - 1/4 + 1/7

= 4/7 + 1/7 - 1/4

= 5/7 - 1/4      The LCD of 7 and 4 is 28 so we have:

20/28 - 7/28

= 13/28.

7 0
3 years ago
(-8)–(-13)? Answer plz
Mademuasel [1]

Answer:

5

Step-by-step explanation:

(-8)-(-13)= 5

8 0
2 years ago
Read 2 more answers
Calculate the area of a circle with the radius of 5cm (1dp)
quester [9]

Answer:

25π ≈ 78.5 cm squared

Step-by-step explanation:

Area of circle= πr²

Substitute: π(5)²

Solution: 25π or about 78.5 cm²

7 0
3 years ago
After spending $3,450 for tables and $3,950 for chairs, a convention center manager finds that the total is 4% more than he spen
g100num [7]
We are given with two current costs : $3,450 for tables and $3,950 for chairs .The total cost then is equal to $7,400. This is said to be 4% more than he spent  last year. so last year's expenses should be <span> $7,400 / 1.04 equal to $7115.39. The cost last year is expected to be less</span>
4 0
3 years ago
Read 2 more answers
Last questions, plz help
Goryan [66]

Answer:

9. a_n=7+6n

10. a_n=a_{n-1}+7

Step-by-step explanation:

9. Given the sequence

13, 19, 25, ...

In this sequence,

a_1=13\\ \\a_2=19\\ \\a_3=25\\ \\...

Note that

a_2-a_1=19-13=6\\ \\a_3-a_2=25-19=6,

then the common difference in this sequence is d=6

You have

a_1=13\\ \\d=6,

then the explicit formula is

a_n=a_1+(n-1)d\\ \\a_n=13+(n-1)\cdot 6\\ \\a_n=13+6n-6\\ \\a_n=7+6n

10. Given the sequence

-10,-3, 4, 11, ...

In this sequence,

a_1=-10\\ \\a_2=-3\\ \\a_3=4\\ \\a_4=11\\ \\...

Note that

a_2-a_1=-10-(-3)=-10+3=-7\\ \\a_3-a_2=-3-4=-7\\ \\a_4-a_3=11-4=7,

then the common difference in this sequence is d=7

You have

a_1=-10\\ \\d=7,

then the recursive formula is

a_n=a_{n-1}+d\\ \\a_n=a_{n-1}+7

5 0
3 years ago
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