1) 8 bananas cost £4<br><br> Work out the cost of 5 bananas.

Someeee one?????????????????

Ad libitum [116K]

Answer:

Option B) $a_{n} = 2\cdot 4^{n-1}$

Step-by-step explanation:

The given geometric sequence is

2, 8, 32, 128,....

The general form of a geometric sequence is given by

$a_{n} = a_{1}\cdot r^{n-1}$

Where n is the nth term that we want to find out.

a₁ is the first term in the geometric sequence that is 2

r is the common ratio and can found by simply dividing any two consecutive numbers in the sequence,

$r=\frac{8}{2} = 4$

You can try other consecutive numbers too, you will get the same common ratio

$r=\frac{32}{8} = 4$

$r=\frac{128}{32} = 4$

So the common ratio is 4 in this case.

Substitute the value of a₁ and r into the above general equation

$a_{n} = 2\cdot 4^{n-1}$

This is the general form of the given geometric sequence.

Therefore, the correct option is B

Note: Don't multiply the first term and common ratio otherwise you wont get correct results.

Verification:

$a_{n} = 2\cdot 4^{n-1}$

Lets find out the 2nd term

Substitute n = 2

$a_{2} = 2\cdot 4^{2-1} = 2\cdot 4^{1} = 2\cdot 4 = 8$

Lets find out the 3rd term

Substitute n = 3

$a_{3} = 2\cdot 4^{3-1} = 2\cdot 4^{2} = 2\cdot 16 = 32$

Lets find out the 4th term

Substitute n = 4

$a_{4} = 2\cdot 4^{4-1} = 2\cdot 4^{3} = 2\cdot 64 = 128$

Lets find out the 5th term

Substitute n = 5

$a_{5} = 2\cdot 4^{5-1} = 2\cdot 4^{4} = 2\cdot 256 = 512$

Hence, we are getting correct results!

6 0

3 years ago

Mr. Smith ordered 27 boxes of baseballs. There were 30 baseballs in each box. How many baseballs did Mr. Smith order?

kirill115 [55]

Answer:

27x30=810

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Add or subtract the polynomials<br> (8x3+3x-2)+(9x2-7+3x-2x3)

crimeas [40]

Answer:

10x^3+9x^2-9

Step-by-step explanation:

8x^3+2x-2+9x^2-7+2x-2x^3 - Combine like terms

10x^3+9x^2-9

4 0

3 years ago

Read 2 more answers

List the following fractions from least to greatest

jonny [76]

Answer:

It would be number 3. 1/7,3/7,4/7,6/7

Step-by-step explanation:

For fractions if the denominator is the same you go to the numerator (the top number) to compare. The bigger the numerator is (like 6) the higher it should go on your list.

7 0

3 years ago

Mrs.Anderson is giving a test in her third period class she has decided to record the amount of time that each student takes to

ICE Princess25 [194]

The graph Plot of the given results shown represents; A relation only

<h3>How to interpret a scatter plot?</h3>

For it to be a function, then no x-value can produce more than 2 y-values. However, we see that at x = 25, y has 2 values. Similarly, at x = 15, y has two values.

Thus, the graph plot can only be a relation as it is not a function as seen from the points plotted in the graph.

The complete question is;

Mrs. Anderton is giving a test in her third-period class. She has decided to record the amount of time that each student takes to finish the test (in minutes) and compare that to the grade each student receives on the test (out of 100). A plot of her results is below. Which of the following does this situation represent?

A. both a relation and a function

B. a function only

C. neither a relation nor a function

D. a relation only

Read more about Scatter Plot at; brainly.com/question/6592115

#SPJ1

8 0

2 years ago

1) 8 bananas cost £4 Work out the cost of 5 bananas.