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Levart [38]
3 years ago
9

5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by

Mathematics
2 answers:
WARRIOR [948]3 years ago
4 0

Answer:

Step-by-step explanation:

Premise:  If n is a positive integer, then 11ⁿ-6 is divisible by 5.

Let n=1.

11¹-6 = 5, so the premise is true for n=1.

Suppose the premise is true when n is an integer greater than 1,

then 11ⁿ-6 is divisible by 5.

11ⁿ⁺¹-6 = 11·11ⁿ - 6

   = (10+1)11ⁿ - 6

   = (10·11ⁿ) + (1·11ⁿ) - 6

   = (10·11ⁿ) + (11ⁿ - 6)

Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.

Proof by induction.

astraxan [27]3 years ago
3 0

Answer:

The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest

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Is the spinner described below a fair spinner? If yes, explain why. If not describe a change that could make the spinner fair
Leto [7]

Answer:

no

Step-by-step explanation:

because it's unequal

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3 years ago
If a2= 18 and a4= 8, find two possible common ratios. Then, write two sequences lhaving five terms each.
Marizza181 [45]

common ratio = a4/a3 = a3/a2

8/a3 = a3/18

(a3)^2 = 8 * 18

(a3)^2 = 144

a3 = 12 or a3 = -12

common ratio = 8/12 or common ratio = 8/(-12)

common ratio = 2/3 or common ratio = -2/3

Answer: 12 or -12

3 0
3 years ago
A line has the equation 3x–4y–12=0.<br><br> Is the point (2, −1) on the graph?
zmey [24]

Answer:

The point (2, -1 ) is not on the graph of the line.

Step-by-step explanation:

3x–4y–12=0

3*2 - 4*(-1) - 12= 0

6 + 4 - 12 =0

10 - 12 = 0

- 2 = 0 , false, so the point (2, -1 ) is not on the graph of the line.

3 0
3 years ago
Read 2 more answers
Converges and diverged part 4<br>​
Allushta [10]

Answer:

Diverges; no sum

Step-by-step explanation:

This is comparable to:

\sum_{k=1}^\infty a \cdot r^{k-1} where:

r is the common ratio and a is the first term.

The series converges to:

\text{First term}\cdot \frac{1}{1-\text{common ratio}}

if the ratio's absolute value is less than 1.

This is a geometric series.

The common ration is -1.04 .

The first term in the series is 0.001.

Since the absolute value of -1.04 is 1.04>1, the series diverges.

4 0
3 years ago
find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.​
defon

Answer:

√3, and -√3

Step-by-step explanation:

to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x

x²-3=0 add 3 to both sides to isolate x

x² = 3 squareroot both sides

√x²= √3

x= ±√3 are the two zeros

7 0
3 years ago
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