All categories

3 years ago

Explain how finding the nth element in a pattern is using deduction.

1 answer:

3 0

Deduction is a process of reasoning in which we explain the logicality of one statement with the help of others. Or in other words, several statements or premises help us to make a certain conclusion. In order to find the n-th element in some ordered set we should find and understand the relationship between the element, between the first and the second, between the second and the third...and so on. So , finding these relations we can conclude what is the n-th element and that is a process of deduction.

You might be interested in

Please solve this and explain with step I'll give you BRAINIEST !! 2x+4=−(x−3)+9

valentina_108 [34]

Answer:

x = 8/3

Step-by-step explanation:

2x+4 = -x + 3 + 9

3x = 3 + 9 -4

3x = 8

x = 8/3

4 0

3 years ago

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

Binomial Series

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

2 years ago

Help meh puh-leaseeeee!!!

Rama09 [41]

Answer:

y=2x+1

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Write the equation of the line that contains the points (4, −7) and (1, 5). The slope of the line that contains the points (4, −

deff fn [24]

Slope = (5+7)/(1-4) = 12/-3 = -4

slope = -4

y = mx + b
-7 = -4(4) + b
-7 = -16 + b
b = 9

equation
y = -4x + 9

4 0

3 years ago

Read 2 more answers

Find the value of y for which line a is parallel to line b.

alexdok [17]

Y+38°= 180 beacuse if a and b are parallel they are co interior angles. This means that they will at to 180.

y=180-38= 142°

Answer: 142°

Drew out some hopefully helpful pictures below. Hope they help! let me know if you still have any questions!

6 0

3 years ago