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Art [367]
3 years ago
10

Finding general term of sequence

Mathematics
1 answer:
kicyunya [14]3 years ago
5 0

Notice that there's a pattern in the given sequence.

1, 4, 9, 16,............ can be written as 1², 2², 3², 4²,...............

So, the general term of the given sequence is y_{n}=(n)^{2}

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Answer: 16,940 from interest.
Explanation: The cost of it is 28,000 and when you figure out what 5.5% of that is it will come to be 1,540. Next you multiply 1,540 by the 11 years so it would come to 16,940.
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3 years ago
Question 7
serg [7]

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>a </u><u>cone</u><u> </u><u>with </u><u>volume</u><u> </u><u>7</u><u>6</u><u>9</u><u>?</u><u>3</u><u> </u><u>ft³</u><u> </u><u>,</u><u> </u><u>having </u><u>a </u><u>height </u><u>of </u><u>1</u><u>5</u><u> </u><u>ft</u>

  • To calculate - <u>radius </u><u>of </u><u>the </u><u>cone</u>

We know that ,

\bold{Volume \: of \: cone =  \frac{1}{3}\pi \: r {}^{2}  h }\\

<u>substituting</u><u> </u><u>the </u><u>values </u><u>in </u><u>the </u><u>formula</u><u> </u><u>stated </u><u>above </u><u>,</u>

\bold{769.3 =  \frac{1}{3}  \times 3.14 \times r {}^{2}  \times 15} \\  \\\bold{\implies r {}^{2}  =  \frac{769.3 \times 3}{3.14 \times 15} } \\  \\\bold{\implies  r {}^{2}  =  \cancel\frac{2307.9}{47.1}}  \\  \\\bold{ \implies \: r {}^{2}  = 49} \\  \\ \bold{\implies \: r = 7 \: ft}

therefore ,

<u>radius </u><u>=</u><u> </u><u>7</u><u> </u><u>cm</u>

hope helpful ~

4 0
2 years ago
(2+3) Second power-16 divided by2
IgorC [24]

(2+3)^2-16÷2 is equal to 17

4 0
3 years ago
Read 2 more answers
Arrange the steps from start to finish to factor this expression using the grouping method x^2-5x-24 drag the tiles to the corre
rosijanka [135]

Answer:

(x - 8)(x + 3)

Step-by-step explanation:

x² - 5x - 24

Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)

The factors are - 8 and + 3 , since

- 8 × + 3 = - 24 and - 8 + 3 = - 5

Use these factors to split the x- term

x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )

= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term

= (x - 8)(x + 3) ← in factored form

7 0
2 years ago
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3 years ago
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