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Kay [80]
3 years ago
6

What is the explicit formula for the sequence? 6, 5, 4, 3, 2, . .

Mathematics
2 answers:
PtichkaEL [24]3 years ago
4 0
This arithmetic sequence has first term 6 and common difference -1. The general formula is
  an = a1 +(n-1)d

For your sequence, this is
  an = 6 +(n-1)*(-1)
  an = 7 - n
adell [148]3 years ago
3 0

Answer: a_n=5+n

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by:-

a_n=a+d(n-1), where a is the first term , di sthe common difference and n is the number of terms.

The given sequence : 6, 5, 4, 3, 2, . .

Common difference  d = 1

First term = 1

Now, the explicit formula for given arithmetic sequence will be:

a_n=6+1(n-1)\\\\\Rightarrow\ a_n=6+n-1\\\\\Rightarrow\ a_n=5+n

Hence, the explicit formula for given arithmetic sequence :  a_n=5+n

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Adam’s father is 3 times as old as Adam. Two years ago, Adam was 15 years old. How old will his father be in 5 years?
Nata [24]

Answer: 56 years

Step-by-step explanation:

Let Adam's age be x , since the father is 3 times as old as him , then the father will be 3x.

Two years ago

Adam = x - 2

Father = 3x - 2

since Adam was 15 years old 2 years ago , this means that

x-2=15

add 2 to both sides

x = 17

Therefore , Adam is presently 17 years old , then the father will be 3(17) years , which means that the father is presently 51 years old.

In 5 years time , the father will be 51 + 5 years old. That is , the father will be 56 years old in 5 years time

6 0
3 years ago
Multiply by 3, then subtract 4.
Otrada [13]

Answer:

what number do you want to "Multiply by 3, then subtract 4."

Example:

(12 x 3) - 4

36 - 4 = 32

4 0
3 years ago
Write down the equation that could be a correct equation for linear regression prediction function?
user100 [1]

If the question meant that we should write a linear prediction function ;

Answer:

y = bx + c

Step-by-step explanation:

The equation for a linear regression prediction function is stated in the form :

y = bx + c

Where ;

y = Predicted or dependent variable

b = slope Coefficient

c = The intercept value

x = predictor or independent variable

Therefore, the Linear function Given represents a simple linear model for one dependent variable, x

b : is the slope value of the equation, whuch represents a change in y per unit change in x

6 0
3 years ago
Chris and his brother leave the same point and run in opposite directions on a straight road. After running for 3 Hours they are
ikadub [295]
<span>Chris' average speed is 3.5mph: Lets take Chris' brother speed = B then Chris speed = (B+ 1) mph-------given in the question and: The average speed for covering 18 miles= chris' average speed + his brother's average speed = (B+ 1) + B since Speed = Distance covered / time taken then average speed for 18 miles can also be found by: 18 miles/3 hours = 6 miles per hour then we have; (B+ 1) + B = 6mph (B +1) = (6-B) B+B = 6-1=5 2B=5 B=5/2=2.5 mph (this is Chris' brother average speed) Hence Chris' average speed is = B+1= 2.5+1= 3.5mph</span>
8 0
3 years ago
What is the value of b?
tresset_1 [31]

Answer:

17

Step-by-step explanation:

Using the law of cosines in ΔABC

b² = a² + c² - (2ac cosB) ← substitute in values

   = 25² + 28² - (2 × 25 × 28 × cos36.9°)

   = 625 + 784 - 1400 cos36.9°

   = 1409 - 1400 cos36.9° ( Take the square root of both sides )

b = \sqrt{1409-1400cos36.9} ≈ 17 ( nearest whole number )

   

8 0
4 years ago
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