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3 years ago

Please any one can help me on this

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

5 0

Yes, answer choice D is correct.Answer now!

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40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS

patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

$40,\:10,\:\frac{5}{2},\:\frac{5}{8}$

A geometric sequence has a constant ratio 'r' and is defined by

$\:a_n=a_0\cdot r^{n-1}$

Computing the ratios of all the adjacent terms

$\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}$

The ratio of all the adjacent terms is the same and equal to

$r=\frac{1}{4}$

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

$a_1=40$

Therefore, the nth term is calculated as

$\:a_n=a_0\cdot r^{n-1}$

$a_n=40\left(\frac{1}{4}\right)^{n-1}$

Put n = 5 to find the next term

$a_5=40\left(\frac{1}{4}\right)^{5-1}$

$a_5=40\cdot \frac{1}{4^4}$

$a_5=\frac{40}{4^4}$

$=\frac{2^3\cdot \:5}{2^8}$

$a_5=\frac{5}{2^5}$

$a_5=\frac{5}{32}$

now, Put n = 6 to find the 6th term

$a_6=40\left(\frac{1}{4}\right)^{6-1}$

$a_6=40\cdot \frac{1}{4^5}$

$a_6=\frac{40}{4^5}$

$=\frac{2^3\cdot \:5}{2^{10}}$

$a_6=\frac{5}{2^7}$

$a_6=\frac{5}{128}$

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

$a_5=\frac{5}{32}$

$a_6=\frac{5}{128}$

7 0

3 years ago

Ronnie and Angela went to the pizza shop and each bought a medium pizza. Angela cut her pizza into four pieces and ate three of

Luden [163]

Answer: there is nothing shown below

Step-by-step explanation:

3 0

3 years ago

A line parallel to a triangle's side splits AB into lengths of x - 5 and x + 2. The other side, AC, is split into lengths of x a

lorasvet [3.4K]

36 because the 36 is the answer

3 0

3 years ago

Read 2 more answers

“Determine whether 3x+12+x is equivalent to 4(3+x). Use properties of operations to justify your answer” PLEASE HELP

Firdavs [7]

Answer:

It’s equivalent.

Step-by-step explanation:

Collect like terms: 4x+12 = 4(3+x)

Expand brackets: 4x+12 = 12+4x

Rearrange: 4x+12 = 4x+12

6 0

2 years ago

Please Help I Don't Understand!

asambeis [7]

Answer:

5.3

Step-by-step explanation:

Since they are similar triangles, we assume the ratio between AM/AN is equal to the ratio between MB/NC.
AM/AN = 6/8 = 3/4
If MB is 4
3/4 = MB/NC = 4/NC
3/4 = 4/NC

3NC = 16
NC = 16/3
16/3 = 5.333333

8 0

1 year ago