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3 years ago

Which describes the difference between the two sequences?

Mathematics

1 answer:

swat323 years ago

8 0

Answer:

the sequence is geometric sequence with common ratio (-2).

Option : D is correct.

Step-by-step explanation:

In this question table is given as

n 1 2 3 4 5

f(n) 48 -96 192 -385 768

We have to find out if the sequence is arithmetic or geometric.

For Arithmetic sequence :

Difference should be common in each term of fees.

common difference = f(2) - f(1)

= -96 -48 = -144

similarly = f(3) - f (2) = 192 + 96 = 288

Here, ≠ so the sequence is not an arithmetic sequence.

For Geometric sequence :

Ratio should be common in each term of f(n)

Common ratio =

Therefore, the sequence is geometric sequence with common ratio (-2).

Option : D is correct.

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PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION

Alex17521 [72]

Solution:

$\sqrt{4x + 13} = x + 2$

First square both sides.

$= > ( \sqrt{4x + 13} ) ^{2} = (x + 2) ^{2}$

Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

$= > 4x + 13 = {(x)}^{2} + 2 \times x \times 2 + (2) ^{2} \\ = > 4x + 13 = {x}^{2} + 4x + 4$

Now, transpose 4x and 4 to LHS.

$= > 4x - 4x + 13 - 4 = {x}^{2} \\$

Now, do the addition and subtraction.

$= > {x}^{2} = 9 \\ = > x = \sqrt{9} \\ = > x = ±3$

Answer:

x = ± 3

Hope you could understand.

If you have any query, feel free to ask.

3 0

2 years ago

Jamal makes $186 a week at his job. He plans to save 5% of his paycheck for a P.Y.F account. How much money will Jamal put in hi

kenny6666 [7]

Answer:

$9.30

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A restaurant offers diet soda and regular soda.In one day they sold 64 sodas.If 28 of the sodas they sold were diet, what is the

german

Answer: The ratio of regular sodas sold to diet sodas sold is 9:7

Step-by-step explanation:

The restaurant offers diet soda and regular soda.

In one day they sold a total of 64 sodas. If 28 of the sodas they sold were diet sodas, the rest would be regular sodas. Therefore, the number of regular sodas sold will be 64 - 28 = 36 regular sodas. The ratio of regular sodas sold to diet sodas sold would be the number of regular sodas sold divided by the number of diet sodas sold. It becomes

36/28 = 18/14 = 9/7

7 0

3 years ago

in 2.5 hours, Mr. Castelli drives a distance of 125 miles. He wants to know his average driving speed in the meters per minute.

Ulleksa [173]

Answer:

1,350 meters per min

Step-by-step explanation:

Given that Mr. Castelli covers 125 miles in 2.5 hours, the average speed = $\frac{distance}{time}$ .

In miles per hr, average speed = $\frac{125}{2.5} = 50 miles/hr$ .

Converting 50 miles/hr to km per hr:

If 1 miles = 1.62 km (unit conversion)

50 miles = 50*1.62 = 81 km/hr

Converting 81 km/hr to meters per hr:

1 km = 1,000 m (unit conversion)

81 km = 81*1,000 = 81,000 m/hr

Converting 81,000 m/hr to meters per minutes:

60 mins = 1 hr

Therefore, average speed = $\frac{81,000}{60} = 1,350 meters/min$

Average driving speed of Mr Castelli in meters per minute = 1,350 meters per minute.

4 0

3 years ago

If a = 3 and b = 2, what is the value of the expression 11 + a - b ?

Vadim26 [7]

Substitute the values of a and b into the expression:
11 + 3 - 2
Add first because of order of operations (perform addition and subtraction in the order of occurrence from left to right):
14 - 2
Subtract (same justification as above just with subtraction instead):
12
Hope this helps!

4 0

3 years ago