2 years ago

A store sells 16 notebooks $7.04 at te same rate what is the cost of 4 notebooks

Mathematics

1 answer:

wolverine [178]2 years ago

7 0

4 x 7.04 ...................................

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In a geometric sequence, a4 = 54 and a7 = 1,458. what is the 12th term? <br><br> answer: B) 354,294

slamgirl [31]

Option B:

The 12th term is 354294.

Solution:

Given data:

$a_4=54$ and $a_7=1458$

To find $a_{12}:$

The given sequence is a geometric sequence.

The general term of the geometric sequence is $a_n=a_1\ r^{n-1}$ .

If we have 2 terms of a geometric sequence $a_n$ and $a_k$ (n > K),

then we can write the general term as $a_n=a_k\ r^{n-k}$ .

Here we have $a_4=54$ and $a_7=1458$ .

So, n = 7 and k = 4 ( 7 > 4)

$a_7=a_4\ .\ r^{7-4}$

$1458=54\ . \ r^3$

This can be written as

$$r^3=\frac{1458}{54}$

$$r^3=27$

$$r^3=3^3$

Taking cube root on both sides of the equation, we get

r = 3

$a_{12}=a_7\ .\ r^{12-7}$

$=1458\ .\ r^5$

$=1458\ .\ 3^5$

$a_{12}=354294$

Hence the 12th term of the geometric sequence is 354294.

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3 years ago

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Gwar [14]

USe the points and slope to write in y=mx+b!

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The formula for the perimeter of a rectangle can be expressed in more than one way. One way is P=2(l + w). Discuss how you could

ruslelena [56]

First you would divide by 2 in both sides
P/2 = l + w

Then you would subtract w from both sides
P/2 - w = l

This is the easiest method do isolate l

You can also distribute the 2 to ( l + w) first
P= 2l + 2w

Then subtract 2w from both sides
P - 2w = 2l

Then you would divide by 2
(P - 2w) / 2 = l
P/2 - w = l

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3 years ago

X-y =3<br> work out 2x - 2y<br> work out the value of y-x

devlian [24]

Answer:

Step-by-step explanation:

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3 years ago

A store sells 16 notebooks $7.04 at te same rate what is the cost of 4 notebooks​

A store sells 16 notebooks $7.04 at te same rate what is the cost of 4 notebooks