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4 years ago

Which of the following is closet to 27.8 x 9.6? a. 280 b. 300 c. 2800 d. 3000

Mathematics

2 answers:

muminat4 years ago

5 0

The answer is A.200 because 27.8 times 9.6 is 266.88 which is closer to A. 280

s344n2d4d5 [400]4 years ago

3 0

The answer is A. It's closet to 280 seeing how it is 265

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Find the first term and the common ratio <br>third term =6 and seventh term= 96

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Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: $a_n= a_1r^{n-1}$

We are given: third term = 6 i,e

$a_3=a_1r(3-1)\\6=a_1r^2----eq(1)$

Seventh term = 96

$a_7=a_1r(7-1)\\96=a_1r^6----eq(2)$

Dividing eq(2) and eq(3)

$\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}$

So, Common Ratio r = 2

Finding First term using eq(1)

$a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}$

So, First term a₁ = 3/2 and common ratio r = 2

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Y= k x 2x so when x=6 and y=72, we find k= 6 so when x=4 we get (12) x 2(4) and find y=96 :)

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