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3 years ago

2. a) Write the next two terms of the following sequence and write the rule. ( /3)

Mathematics

1 answer:

mr Goodwill [35]3 years ago

4 0

Answer:

See answers below

Step-by-step explanation:

Given the sequence

11, 15, 19, 23, 27, ______, ______

nth term is expressed as Tn = a +(n-1)d

a= 11

d = 15-11 = 19-15 = 4

n = 6 and 7

for the sixth term,

T6 = 11 +5d

T6 = 11 + 5(4)

T6 = 20

for the 7th term,

T7 = 11 +6d

T7 = 11 + 6(4)

T7 = 11+24

T7 = 35

Rule used Tn = a + (n-1)d

b) Example of a Fibonacci sequence is 1,1, 2, 3, 5, 8, 11...

The sum of the two previous term of a Fibonacci sequence gives the next term. That is how the sequence was constructed

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Answer:

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Step-by-step explanation:

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3 years ago

Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells

dlinn [17]

Answer:

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Step-by-step explanation:

Let d be the number of days.

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4 years ago

Read 2 more answers

What is the slope of the line that passes through the points (-2, -1)(−2,−1) and (2, -3) ?(2,−3)? Write your answer in simplest

erica [24]

The slope of line that passes through given points is -1/2

Step-by-step explanation:

The formula for slope is:

$m = \frac{y_2-y_1}{x_2-x_1}$

Given points are:

(-2,-1) = (x1,y1)

(2,-3) = (x2,y2)

Putting the values in the formula of slope

m = $=\frac{-3-(-1)}{2-(-2)}\\=\frac{-3+1}{2+2}\\=\frac{-2}{4}\\=-\frac{1}{2}$

The slope of line that passes through given points is -1/2

Keywords: Slope, rate of change

Learn more about slope at:

#LearnwithBrainly

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4 years ago

If minus−3 and 5 are the coordinates of two points on the real number line, the distance between these points is

anzhelika [568]

Abs(-3-5)
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4 years ago

What is perpendicular to y=1/3x+6 and passes through the point (2,-3)

defon

Answer:

y = -3x + 3

Step-by-step explanation:

Perpendicular slope: -3

y -(-3)= -3(x-2)

y+3= -3x + 6

y = -3x + 3

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3 years ago