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3 years ago

Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?

Mathematics

2 answers:

Lady_Fox [76]3 years ago

7 0

Answer:

The answer is C

Step-by-step explanation:

Llana [10]3 years ago

4 0

Answer:

$f(n)=-2\cdot f(n-1)$ , where f(1)=3

Step-by-step explanation:

The given sequence is; 3, –6, 12, –24, 48, …

The first term of this sequence is

$f(1)=3$

There is a common ratio of $r=\frac{-6}{3}=-2$

We can actually use any other two consecutive terms in the sequence to obtain the common ratio.

The recursive formula is given by:

$f(n)=r\cdot f(n-1)$

We plug in the common ratio to get:

$f(n)=-2\cdot f(n-1)$ , where f(1)=3

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Sue buys 5 pieces of fabric.Each piece is 1 7/10 yards long.What is the total length of the fabric she buys?One yard of the fabr

Bumek [7]

Answer:

1. 8.5 yards.

2. $42.5

Step-by-step explanation:

We have been given that Sue buys 5 pieces of fabric. Each piece is $1\frac{7}{10}$ yards long.

1. To find the total length of fabric bought by Sue we will multiply length of each fabric piece by 5.

$\text{Total length of the fabric}=5\times 1\frac{7}{10}\text{ yards}$

$\text{Total length of the fabric}=5\times \frac{17}{10}\text{ yards}$

$\text{Total length of the fabric}=\frac{17}{2}\text{ yards}$

$\text{Total length of the fabric}=8.5\text{ yards}$

Therefore, Sue bought 8.5 yards of fabric.

2. 1 yard of fabric costs $5.

So 8.5 yards of fabric will cost : 5*8.5

$\text{Total cost of the fabric}=5\times 8.5$

$\text{Total cost of the fabric}=42.5$

Therefore, the cost of total fabric bought by Sue is $42.5.

8 0

3 years ago

Your office manager used 45 paperclips for handouts at his presentation from the 450 paperclips available in the stock room. Wha

vova2212 [387]

It would be 90%..... 45/450= 10%.... so there would be 90% not being used.

5 0

3 years ago

What is the constant of proportionality in the equation y=12.9x? Enter your answer as a decimal

forsale [732]

Answer:

The constant of proportionality would just be 12.9.

Step-by-step explanation:

This equation is already simplified enough to were the constant of proportionality is just the number attached to the x.

3 0

3 years ago

HALP MEEEEEEEEEEEEEEE

nevsk [136]

Answer:

-1, 9, - 21, 69

Step-by-step explanation:

Given recursive formula:

a₁ = -1
aₙ = - 3aₙ₋₁ + 6 for n ≥ 2

The first 4 terms are:

a₁ = - 1, given
a₂ = - 3*(-1) + 6 = 3 + 6 = 9
a₃ = - 3*(9) + 6 = - 27 + 6 = - 21
a₄ = - 3*(-21) + 6 = 63 + 6 = 69

6 0

2 years ago

Find the nth term of the arithmetic sequences a1=5,d=6,n=11

ki77a [65]

here's the solution,

n = 11
a = 5 ( a = first term )
d = 6 ( d = common difference )

we know,

=》

$nth \: \: term \: = a \: + (n - 1) \times d$

=》

$11th \: \: term = 5 + (11 - 1) \times 6$

=》

$11th \: \: term = 5 + (10 \times 6)$

=》

$11th \: \: term = 5 + 60$

=》

$11th \: \: term = 65$

nth term ( 11th term ) = 65

3 0

3 years ago