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Alex
2 years ago
5

Find a formula for the nth term of the sequence in terms of n. the sequence​ 1, 0,​ 1, 0,​ 1, ...

Mathematics
1 answer:
timofeeve [1]2 years ago
3 0

If the sequence is like this, you actually don’t have to formulate a formula. You just have to formulate a principle. You just have to remember that when n is an odd number, the value would always be 1. If the n is an even number, the value would always be 0.

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Yasmina eats lunch at Chipotle for $5.25 per day for five days a week. How much does lunch cost...
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Answer:

Step-by-step explanation:

Yasmina:

5.25 x  5 = 26.25 per week

5.25 x 20 = 105 per month

5.25 x 260 = 1365 per year

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341.25  x 0.20 = 68.25 saves per week

9.75x35x 4= 1365 earnings per month

1365 x 0.20 = 273 saves per month

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TiliK225 [7]
Which equation am I looking at
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2 years ago
I need help asap pls and thank you ;)
olga55 [171]

Answer:

\text{Length of AB is }\frac{ah}{a+h}

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

we have to find the length of AB.

Let the side of square i.e AB is x units.

As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°

⇒ CP||MP||AB

In ΔMNP and ΔCND

∠NCD=∠NMP     (∵ corresponding angles)

∠NDC=∠NPM     (∵ corresponding angles)

By AA similarity rule,  ΔMNP~ΔCND

Also, ΔKAP~ΔKPM by similarity rule as above.

Hence, corresponding sides are in proportion

\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\

KA(\frac{h}{x}-1)=AP

ND(\frac{h}{x}-1)=PD

Adding above two, we get

(KA+ND)(\frac{h}{x}-1)=(AP+PD)

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⇒ a-x=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x^2}{h-x}

⇒ x^2=ah-ax-xh+x^2

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Answer:

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