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2 years ago

14

When finding the multiples of 2, how can I figure out the 6th term?

1 answer:

natka813 [3]2 years ago

8 0

Answer:

2×1=2

2×2=4

2×3=6

2×4=8

2×5=10

2×6=12 ==> Answer

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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

8 0

2 years ago

Plz help with - symmetry-

DIA [1.3K]

Answer:

1.) The correct answer is A.

2.) The correct answer is C.

3.) The correct answer is B.

4.) The correct answer is A.

5.) The correct answer is B.

Step-by-step explanation:

8 0

2 years ago

Indigo Depot is having a clearance sale of their fall items. A jacket that originally cost $120 before any discount is on sale f

Sauron [17]

Answer:

The final price is $66.

Step-by-step explanation:

This question can be solved by a rule of three.

The initial price was of $120.

Initially, there was a discount of 15%. Then, there is another discount on the initial price. So the total discount is of 15+30 = 45%.

So the final price will be 100-45 = 55% = 0.55 of the initial price.

So

$120 - 1

x - 0.55

$x = 0.55*120 = 66$

The final price is $66.

5 0

2 years ago

5/8 = ? (Please do this one:)

SpyIntel [72]

Answer:

0.625

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A band sold out 4 of its last 20 shows. What is the experimental probability that the band's

kykrilka [37]

Answer:

$\frac{1}{5}$ probability

Step-by-step explanation:

P(Sold Out)= $\frac{4}{20}$

$\frac{4}{20} =\frac{1}{5}$

So since the experimental probability is the number of times an event occurs out of the total number of trials...

The answer to "what is the experimental probability that the band's next show will be sold out?" Is $\frac{1}{5}$ !!!

Hope this helped you!

Have a nice evening!

8 0

2 years ago