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2 years ago

Help solve these problems

Mathematics

1 answer:

marissa [1.9K]2 years ago

4 0

Answer:

Step-by-step explanation:

Expression; coefficient, variable; constant; substitute, though I think it should be substitute 7 for x, not 3 for x; and simplify

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The general term for the sequence 2, 4, 8, 16, 32, . . . is

Nuetrik [128]

We are given

sequence is 2 , 4 , 8 ,16 , 32 , .....

Firstly , we will check whether it is geometric sequence

Checking geometric sequence:

We will find common ratio between successive terms

and then we check whether they are equal

r1=(second term)/(first term)

$r_1=\frac{4}{2}=2$

r2=(third term)/(second term)

$r_2=\frac{8}{4}=2$

r3=(fourth term)/(third term)

$r_3=\frac{16}{8}=2$

r4=(fifth term)/(fourth term)

$r_4=\frac{32}{16}=2$

we can see that all four ratios are same

$r_1=r_2=r_3=r_4=2$

so, this is geometric sequence

Calculation of general term:

We got

common ratio is

$r=2$

Let's assume

number of terms is n

first term is 2

$a_1=2$

now, we can use formula

$a_n=a_1 (r)^{n-1}$

we can plug values

and we get

$a_n=2(2)^{n-1}$

$a_n=2^1(2)^{n-1}$

$a_n=(2)^{n-1+1}$

$a_n=(2)^{n}$ ..................Answer

5 0

2 years ago

Jori has 2 gallons of distilled water and uses 7/6 gallon in a science experiment. What fraction of a gallon does she have left?

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

6/6 = 1 gallon

12/6 = 2 gallons

12/6 - 7/6 = 5/6

5/6 should be the answer

5 0

3 years ago

Five miles Equals to how many feet

Luba_88 [7]

5 miles is 26400 feet.

6 0

3 years ago

Read 2 more answers

Help struggling on this

Irina18 [472]

Is it possible it’s (-2,2)

4 0

2 years ago

Read 2 more answers

How do I begin this equation

alex41 [277]

Trigonometry:
We know that csc x = 1 / sin x and π = 180°;
sin 5π/ 6 = sin 150° = 1/2
csc 2π / 3 = 1 / sin 120° = 1 / √3/2 = 2 / √3
Finally:
4 · 1/2 + 7 · ( 2 / √3 )² = 2 + 7 · 4/3 =
= 2 + 28/3 = 2 + 9 1/3 = 11 1/3

5 0

3 years ago