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il63 [147K]
3 years ago
10

Convert:

Mathematics
1 answer:
ella [17]3 years ago
8 0
C. Is your answer i think :)
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Proof by mathematical induction
Ghella [55]

Answer:

See below.

Step-by-step explanation:

I will assume that 3n is the last term.

First let  n = k, then:

Sum ( k terms) =  7k^2 + 3k

Now, the sum of k+1 terms  = 7k^2 + 3k + (k+1) th term

=  7k^2 + 3k + 14(k + 1) - 4

=   7k^2 + 17k + 10

Now 7(k + 1)^2 = 7k^2 +14 k + 7 so

7k^2 + 17k + 10

=  7(k + 1)^2  + 3k  + 3

= 7(k + 1)^2 + 3(k + 1)

Which is the  formula for the Sum of k terms with the k replaced by k + 1.

Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.

But the formula is true for 1 term because  7(1)^2 + 3(1) = 10 .

So it must also be true for all subsequent( 2,3 etc) terms.

This completes the proof.

5 0
3 years ago
How do u write a expression
zhuklara [117]

Answer:

<h2><u>it depends on what expression u want </u></h2>

Step-by-step explanation:

An example of a mathematical expression with a variable is 2x + 3. All variables must have a coefficient, a number that is multiplied by the variable. In the expression 2x + 3, the coefficient of x is the number 2, and it means 2 times x plus 3.

3 0
3 years ago
Read 2 more answers
Statistics is the science of collecting, organizing, summarizing, and analyzing information to draw a conclusion and answer ques
Elena L [17]

Answer:

4.results should be reported with some measure that represent how convinced we are that our conclusion reflect reality

Step-by-step explanation:

Certainly statistics deals with organization, evaluation and data conclusions. But the data is always obtained from representative samples of certain universes for that reason those results must be associated with the degree of confidence

5 0
2 years ago
Dennis and Ivy share some sweets between them in the ratio 7:4 Dennis got 42 sweets. How many does ivy get
MrRa [10]

Answer:

Ivy = 24

Step-by-step explanation:

Given

Dennis : Ivy = 7 : 4

Required

Determine the amount of sweet Ivy gets when Dennis = 42

We have:

Dennis : Ivy = 7 : 4 and

Dennis = 42

Substitute 42 for Dennis in Dennis : Ivy = 7 : 4

42 : Ivy = 7 : 4

Convert to fraction

\frac{42}{Ivy} = \frac{7}{4}

Cross Multiply:

Ivy * 7 = 42 * 4

Divide through by 7

\frac{Ivy * 7}{7} = \frac{42 * 4}{7}

Ivy = \frac{42 * 4}{7}

Ivy = 6* 4

Ivy = 24

6 0
2 years ago
Each exterior angle of a regular polygon measures 60 degree how many sides does a polygon have ?
algol13
360/60=6
The polygon has 6 sides.
6 0
3 years ago
Read 2 more answers
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