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3 years ago

Given the sequence rn defined recursively below, find r3. r1rn=2=−rn−1+n−2

Mathematics

1 answer:

kifflom [539]3 years ago

7 0

Answer:

$r_3=3$

Step-by-step explanation:

Given:

$r_1=2\\r_n=-r_{n-1}+n-2$

We want to find the value of $r_3$ .

$\\r_2=-r_{2-1}+2-2\\r_2=-r_1\\r_2=-2\\\\r_3=-r_{3-1}+3-2\\r_3=-r_{2}+1\\r_3=-(-2)+1\\r_3=2+1\\r_3=3$

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Oxana [17]

Answer:

$(A) y=1.5$

$(B)x=\dfrac27$

$(C)x=2\dfrac23$

$(D)x=-5.25$

Step-by-step explanation:

(A)

$3y - 2 = - y + 4\\3y+y=4+2\\4y=6\\y=\dfrac64\\\\y=1.5$

(B)

$5 - 4x = x + 3 + 2x\\5 - 4x = 3 +3x\\5-3=3x+4x\\7x=2\\x=\dfrac27$

(C)

$-12 - 9x = - 4 - 12x\\-9x+12x=-4+12\\3x=8\\x=\dfrac83\\\\x=2\dfrac23$

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5 0

3 years ago

20000 into saving account 6% compound interest for 10 years

zimovet [89]

Answer:

210,000‬

Step-by-step explanation:

20,000 * 6% = 1,200‬

20,000 + 1,200 = 21,000

21,000 * 10 = 210,000‬

Therefore your answer is 210,000‬

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3 years ago

Wendell’s dog, Jordan, was getting in his way as he worked in the backyard. So, Wendell chained him to a pole. If the chain is 1

xxMikexx [17]

Answer:

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3 years ago

Read 2 more answers

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dolphi86 [110]

Answer: 116

Step-by-step explanation:

We can substitute x=-14, giving us f(-14)=-8(-14)+4=116

4 0

2 years ago

Calculate the total hours Nicki worked last week.

belka [17]

Answer:

47 hours

$517

Step-by-step explanation:

M8 T9 W9 T8 F0 S8 S5

From the information above :

Total hours worked last week :

(8 + 9 + 9 + 8 + 0 + 8 + 5) = 47 hours

Rate = $11 / hour

Last week earning :

Total hours worked * rate per hour

47 * $11

= $517

6 0

3 years ago