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3 years ago

245 500 1,010 2,030 The sequence above can be expressed

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

7 0

Answer:

Step by Step Explanation:

f(n+1) = 2f(n) + 10

a = 2, k = 10

a + k = 2 + 10 = 12

cupoosta [38]3 years ago

4 0

Answer:

Step-by-step explanation:

if I have understood the question correctly

f(n+1) = a*f(n) + k

using two consecutive values of the given sequence

500 = a*245 + k or it can be written as a*245+k -500 = 0

1010 = a*500+k or it can be written as a*500+k - 1010 = 0

therefore

a*245+k -500 = a*500+k - 1010

a*245-a*500 = -1010 + 500

-255a = -510 a=510/255=2

using this value in the original equation

500 = 2 *245 + k

k = 500 - 2 *245 = 10

a+k = 2+10 = 12

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Aloiza [94]

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3 years ago

Read 2 more answers

Help! If you know this can you tell me how to do it?

aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Here's how this works:

Get everything together into one fraction by finding the LCD and doing the math. The LCD is sin(x) cos(x). Multiplying that in to each term looks like this:

$[sin(x)cos(x)]\frac{sin(x)}{cos(x)}+[sin(x)cos(x)]\frac{cos(x)}{sin(x)} =?$

In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:

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Put everything over the common denominator now:

$\frac{sin^2(x)+cos^2(x)}{sin(x)cos(x)}=?$

Since $sin^2(x)+cos^2(x)=1$ , we will make that substitution:

$\frac{1}{sin(x)cos(x)}$

We could separate that fraction into 2:

$\frac{1}{sin(x)}$ × $\frac{1}{cos(x)}$

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3 years ago

1 2 3 4 5 6 7 8 9 10 11

alexandr402 [8]

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12 * 5 = 60

60 + 6 / 6

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60 + 1 = 61

61 is the final answer.

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2 in the final answer.

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-10 is the final answer.

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15x = 25.

25/15 = 1.6...

x = 1.6...

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2x + 3x = 5x

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Add 4 to each side

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x = 0.6

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I don't remember the steps, but the answer is x = 11

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20/5 = 4

x = 1

The smaller rectangle has a reduction of 5 times.

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18 + 27 + 15 + 24 + 18 + 26 + 19 + 24 = 171

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3 years ago

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Rashid [163]

Answer:

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3 years ago

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3 years ago