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3 years ago

Find the first four terms in the sequence

Mathematics

2 answers:

morpeh [17]3 years ago

8 0

Answer:

A. 21, 27, 33, 39

Step-by-step explanation:

an =15 + 6n

Let n=1

a1 = 15 +6(1) = 15+6 = 21

Let n=2

a2 = 15 +6(2) = 15+12 = 27

Let n=3

a3 = 15 +6(3) = 15+18 = 33

Let n=4

a4 = 15 +6(4) = 15+24 = 39

earnstyle [38]3 years ago

4 0

Answer:

Step-by-step explanation:

You do not know where n starts. Is it 1 or zero or something else. Raise your hand and complain.

I'll assume that n = 1 to start with

n = 1

15 + 6(1) = 21

n = 2

15 + 6(2) = 15 + 12 = 27

n = 3

15 + 6* 3 = 33

n = 4

15 + 6*4 = 39

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According to the rule of 72, which statement is true? An investment of $3,100 will double in 12 years at a compound interest rat

bulgar [2K]

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Question - According to the rule of 72, which statement is true? An investment of $3,100 will double in 12 years at a compound interest rate of 5%. An investment of $9,000 will double in 10 years at a compound interest rate of 7%. An investment of $4,500 will double in 8 years at a compound interest rate of 9%. An investment of $3,000 will double in 4 years at a compound interest rate of 12%

Answer - An investment of $3,000 will double in 4 years at a compound interest rate of 12%

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3 years ago

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The ratio of students wearing sneakers to those wearing boots is 5 to 6. If there are 33 students in the class, and all of them

Sindrei [870]

Answer:

Step-by-step explanation:

For each 11 students, 5 are wearing sneakers, and 6 are wearing boots.

If you have 33 students, then you multiply by 3 to find that 15 are wearing sneakers, and 18 are wearing boots.

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4 years ago

Write a recursive and explicit rule for each Arithmetic Sequence.

Eduardwww [97]

Answer:

add six

subtract six

subtract 5

subtract 11

add 0.5

Step-by-step explanation:

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3 years ago

PLEASE PLEASE HELP ME WITH THIS QUESTION PLEASE AND SHOW YOUR STEPS PLEASE help me please

jeyben [28]

Answer:

4a)= 2.1m 4b)= 1.9 m 5)= 29.6º

Step-by-step explanation:

4a):

x is the opp

AB is the hyp

BC is the adj

thus,

sin32 = x/4

cross multiply, x= 4*sin32

x= 2.1196.......

x=2.1 m

4b).

x is the hyp

ac is the opp

bc is the adj

thus,

cos65=4.5/x

cross multiply, x= 4.5*cos65

x=1.9017....

x=1.9 m

5).

AB is the opp

bc is the adj

ac is the hyp

thus:

tanC= 2.1/3.7

C= tan^-1 (2.1/3.7)

C= 29.5778.....

C= 29.6º

5 0

3 years ago

A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is 6 StartRoot 2 En

saw5 [17]

Answer:

The leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

Step-by-step explanation:

The set up in the question will b a right angled triangle

Length of the ladder will be the hypotenuse

The distance from the base of the wall to the base of the ladder is the adjacent

Height of the wall will be the opposite

Note that the longest side is always the hypotenuse (length of the ladder)

Given

length of the ladder = 12foot

The distance from the base of the wall to the base of the ladder = 6√2

The ratio of leg to hypotenuse = 6√2/12 = √2/2

√2/2 = √2/2 * √2/√2

√2/2 = √4/2√2

√2/2 = 2/2√2

√2/2 = 1/√2

Hence the leg-to-hypotenuse ratio is 1/√2

From the calculation the following are correct:

the leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

7 0

3 years ago

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