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2 years ago

An arithmetic sequence has this recursive formula

Mathematics

2 answers:

ycow [4]2 years ago

7 0

Answer:

$\text{The explicit formula is }a_n=7+(n-1)(-4)$

Option B is correct.

Step-by-step explanation:

Given the recursive formula of arithmetic sequence

$a_1=7$

$a_{n}=a_{n-1}-4$

we have to find the explicit formula for the above sequence.

$a_{n}=a_{n-1}-4$

$a_{n}-a_{n-1}=-4$

which is the common difference, d=-4

The explicit formula for A.P is

$a_n=a_1+(n-1)d$

$a_n=7+(n-1)(-4)$

Option B is correct.

OLga [1]2 years ago

6 0

Answer: B
This is because 7 is standing in place for a1 and -4 is standing in place for d in the explicit equation: an=a1+(n-1)d

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An envelope is classified as a large envelope if the length exceeds 11.5 inches . What is the length of the envelope shown? Roun

katrin [286]

Answer: 12.6

Step-by-step explanation:

Pythagorean theorem;

The diagonal in the rectangle creates two right triangles, with a hypotenuse length of 14 inches. One of the side lengths of this right triangle is 6 inches.

Using the Pythagorean =Theorem, you can use the formula 14^2-6^2= 160.

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2 years ago

If the code for CAB is DEK, what is the code for BED?

snow_tiger [21]

Answer:

CIM

Step-by-step explanation:

C is the 3rd letter of the alphabet, A is the 1st, and B is the 2nd.

CAB = 3,1,2

Repeating for DEK:

DEK = 4,5,11

Comparing:

4−3 = 1

5−1 = 4

11−2 = 9

BED = 2,5,4, so adding the corresponding numbers:

2+1 = 3

5+4 = 9

4+9 = 13

So the code is CIM.

7 0

2 years ago

A survey of a group’s viewing habits over the last year revealed the following information: (i) 28% watched gymnastics (ii) 29%

almond37 [142]

Answer: D) 52%

Step-by-step explanation:

G = gymnastics

B = baseball

S = soccer

G = 28%

BA = 29%

S = 19%

G and BA = 14%

BA and S = 12%

G and S = 10%

GBS = 8%

So, as we can see at the Venn diagram attached (consider every number in %)

GBS = 8

A = G and S - GBS = 10 - 8 = 2

B = G and BA - GBS = 14 - 8 = 6

C = BA and S - GBS = 12 - 8 = 4

Only G = G - A - B - GBS = 28 - 2 - 6 - 8 = 12

Only BA = BA - B - C - GBS = 29 - 6 - 4 - 8 = 11

Only S = S - A - C - GBS = 19 - 2 - 4 - 8 = 5

So, 2+6+4+12+11+5+8 = 48

100 - 48 = 52%

3 0

2 years ago

5x−4≥12 OR 12x+5≤−4 please answer asap and right and explain like im 5 how to solve OR problems ill give brainliest and a lot of

weeeeeb [17]

Answer: x>_3.2 OR x<_ -0.75

Step-by-step explanation: first break down your compound inequality. 5x-4>_12

You first cancel out your constants by adding 4 to both sides. Now you’re left with 5x>_16 then to cancel five you have to divide on both sides by five which equals to 3.2. Then, x>_ 3.2.

Next you do your second part, 12x+5<_-4

So first cancel out the constant of 5 by subtracting 5 on both sides, making the equation 12x<_-9. Now, you divide by 12 on both sides, making it -9/12. Which effectively is -0.75. Therefor, the answer being x<_ -0.75. Add the two together x>_3.2 OR x<_0.75

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2 years ago

Most everyday situations involving chance and likelihood are examples of ______. simple probability permutations conditional pro

Fynjy0 [20]

Answer:

Most everyday situations involving chance and likelihood are examples of simple probability.

Explanation:

The probability is the chance or likelihood of any event happening. In our everyday life, we unintentionally use the probability. For example, we say there is 70% chance that tomorrow will be rain, there is 50% chance that Brazil will win the world cup, there is less likelihood of he arriving today and soon. In all these concepts we are dealing with uncertainty and there is chance factor involved in all these examples. So in most everyday situations which involve chance and likelihood are actually examples of simple probability.

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2 years ago