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Andrew [12]
3 years ago
5

If the two terms of a gemotric sequence are a1=216, and a2=72, which is the third term? a3?

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0
GEOMETRIC \: \: PROGRESSIONS \\ \\ \\\\Let \: the \: G.P. \: be \: \: A \: , \: Ar \: , \: A {r}^{2} \: ... \\ \\ Where \:first \: term \: is \: \: A \: \: \\ and \: common \: ratio \: is \: \: R \\ \\ Let \: An \: denotes \: the \: \: nth \: term \: of \: \\ the \: given \: Geometric \: Progression \: \\ \\ It \: is \: given \: - \\ \\ A1 \: = \: 72 \\ \\ A2 \: = \: 216 \\ \\ Common \: ratio \: = \: \frac{A2}{A1} = \frac{216}{72} \\ \\ R = 3 \\ \\ A \: = \: 72 \\ \\ A3 \: = \: A {r}^{2} = 72 \times 3 \times 3 \\ \\ \\ Hence \: , \: A3 \: = \: 648 \: \: \: \: \: \: \: Ans.
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tanji creates a "square, circle" repeating pattern. Kenji creates a "Square, circle, trianglr, cricle" repeating pattern. if bot
RoseWind [281]

Both tanji & kenji have same number of circles i.e. 50 .

<u>Step-by-step explanation:</u>

Here we have , tanji creates a "square, circle" repeating pattern. Kenji creates a "Square, circle, triangle, circle" repeating pattern. if both tanji and kenji have 100 shapes in their patterns,  . We need to find that which pattern contains more circles .Let's find out :

<u>tanji creates a "square, circle" </u>

it's given that tanji has 100 shapes and he is repeating this pattern . In this pattern circle comes 1 every time out of 2 shapes :

Total number of times circle = \frac{100}{2}(1)

Total number of times circle = 50

<u>Kenji creates a "Square, circle, triangle, circle" </u>

it's given that tanji has 100 shapes and he is repeating this pattern . In this pattern circle comes 2 every time out of 4 shapes :

Total number of times circle = \frac{100}{4}(2)

Total number of times circle = 50

Both tanji & kenji have same number of circles i.e. 50 .

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3 years ago
George weighs twice as much as his little brother Sam.
german
74 pounds because sam weight 37
37x2 = 74
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What value is needed to complete the square? Show all steps. <br> x^2 - 2x +__
Sunny_sXe [5.5K]

In completing the square method, considering the equation X^2 - 2x +  the number to be added should be<u> 1 </u>to make it a perfect square

<h3>How to know term that should added</h3>

The standard quadratic equation is of the form

ax^2 + bx + c

The completing the square method is one of the methods of solving quadratic equations

The factor to be added to the equation while using the completing the square method is of the formula

(b / 2a)^2

compared to the equation in the problem X^2 - 2x +

= (b / 2a)^2

= (2 / 2)^2

= (1)^2

= 1

Learn more on quadratic equations here:

brainly.com/question/29227857

#SPJ1

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