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Brums [2.3K]
3 years ago
7

A recursion formula and the initial term of a sequence are given. Write out the first five terms of the sequence. a Subscript fo

nt size decreased by 1 1equals6​, a Subscript n plus font size decreased by 1 1equalsminusa Subscript n
Mathematics
1 answer:
Lelu [443]3 years ago
4 0

Answer:

6, -6, 6, -6 and 6.

Step-by-step explanation:

Given the recursion formula for a sequence

a_{n+1}=-a_n\\$where a_1=6\\

The first five terms of the sequence are:

\text{First Term, }a_1=6\\$Second Term, a_2=a_{1+1}=-a_1=-6\\$Third term, a_3=a_{2+1}=-a_2=6\\$Fourth term, a_4=a_{3+1}=-a_3=-6\\$Fifth term, a_5=a_{4+1}=-a_4=6

Therefore, the first five terms of the sequence:

a_1,a_2,a_3,a_4,a_5=6, -6, 6, -6$ and 6.

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Using the distributive property simplify the expression <br> -3(x - 2) + 4
S_A_V [24]

Answer:

-3x+10

Step-by-step explanation:

-3(x - 2) + 4

Using the distributive property:

-3*x-3*(-2)+4

we have:

-3x+6+4

-3x+10

8 0
3 years ago
Read 2 more answers
Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist
mezya [45]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of \frac{map}{real world} and simplify.

We know \frac{map}{real world}=\frac{0.5in}{2.3 miles}. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write \frac{4.7in}{xmiles} and  \frac{2.4in}{xmiles}

We set them equal.

\frac{0.5}{2.3}=\frac{4.7}{x}

and

\frac{0.5}{2.3}=\frac{2.4}{x}

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x

and

2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x

5 0
3 years ago
a group of students attend a math club half the students are boys and 4/9 of the boys have brown eyes what fraction of the group
enyata [817]
From the whole group half the club are boys. 
fraction of boys from the whole class = 1/2
from this fraction, 4/9th of the boys have brown eyes
therefore fraction of boys who have brown eyes 
= 4/9 of 1/2
the 'of' function is used to multiply 
\frac{4}{9} *  \frac{1}{2}
when multiplying fractions numerators are multiplied by numerators and denominators multiplied by denominators
\frac{4*1}{9*2} =  \frac{4}{18}
4/18 can be simplified by dividing the whole number by a common number
4/18 divided by 2 = 2/9
the answer is 2/9
2/9 of the club are boys with brown eyes


3 0
3 years ago
Read 2 more answers
A boy rides his bike at a speed of 28 miles per hour. How
sergejj [24]

Answer:

About 4 hours.

Step-by-step explanation:

Let's set up a proportion and cross multiply.

\frac{28 miles}{1 hour} = \frac{120 miles}{x}

Cross multiply.

120 = 28x

Divide by 28 on both sides.

= 4.28571428571

Round this to the nearest whole number, which is just 4. The answer is about 4 hours.

6 0
2 years ago
How do I find the range of a function (no links)
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