Question

Last ones I need help with!

Answer 1

so the common difference =d= +2

a1 = January clients = 5

use the formula \(\Large a_n = a_1 +(n-1)d\)

Answer 2

december means n = 12

Answer 3

Alright so
a_n=a_1(n-1)d
a_n=5+(n-1)2
a_n=5+(12-1)2
a_n=5+11(2)
a_n=5+22
a_n=27

Answer 4

correct, 27 clients in december

Answer 5

to get the total number of clients in 12 months, we need to add all the clients she added each month!

we could use this sum formula
\(\Large S_n = (n/2) (2a+(n-1)d)\)
n = 12

Answer 6

that \(a\) is actually \(a_1\)

Answer 7

S_n=(n/2)(2a_1+(n-1)d)
S_n=(12/2)(2(5)+(12-1)2)
S_n=(6)(10+(11)2)
S_n=(6)(10 + 22)
S_n=(6)(32)
S_n=192

Answer 8

correct :)
ask if any doubts...

Answer 9

Hahaa.
Okay great so I don't know how to do the sigma ones at all.

Answer 10

\(\Large \sum = sum\)

\(\sum \limits_{n=1}^6\)
means sum from 1st term to 6th term

Answer 11

one easier approach to do both 2 and 3, (just because the upper limit is small)
is to keep on plugging in numbers for n

plug in n =1, then n=2, then n=3....n=6 and add all the answers

Answer 12

for 3.
start with n = 0, go till n =5
add all the answers

Answer 13

So for 2
n^2+1
1^2+1=1+1=2
2^2+1=4+1=5
3^2+1=9+1=10
4^2+1=16+1=17
5^2+1=25+1=26
6^2+1=36+1=37
2+5+10+17+26+37=97

Answer 14

too lazy to check, i assume thats correct :P

Answer 15

yup, 97 is correct

Answer 16

Lol okay
For 3
16(1/4)^n
16(1/4)^0=16*1=16
16(1/4)^1=16*.25=4
16(1/4)^2=16*.0625=1
16(1/4)^3=16*.015625=.25
16(1/4)^4=16*.00390625=.0625
16(1/4)^5=16*9.765625E-4=.015625
16+4+1+.25+.0625+.015625=21.328125

Answer 17

correct! :)

Answer 18

Ok so how do I determine the last one.

Answer 19

can you find the common ratio between the terms of the last sequence ?

Answer 20

if magnitude of common ratio |r| > 1 , then the series does not converge at all and the sum would be infinite

Answer 21

So to find r
Do I do it like this?
1/4 to 1/2 or is it 1/4 to -1/2?

Answer 22

r = 2nd term / 1st term = 3rd term/ 2nd term = ...

Answer 23

-1/2 divided by 1/4

or simply -2 divided by 1

Answer 24

-1/2 divided by 1/4 =
-2
-2 divided by 1=
-2
|r|>1
|-2|>1
2>1

Answer 25

correct, so the sum does not even exist, as the sequence is divergent

Answer 26

Alright thank you!

Answer 27

welcome ^_^

Answer 28

PLEASE HELP!!
Complete the analogy below.
amplitude : loudness :: frequency : _________
A.

Answer 29

PLEASE HELP!!
Sound waves can best be described as _________.
A. opaque
B. polarized
C.

Answer 30

Which of the following major contributions were made by Maury?

creating navigati

Answer 31

Cousteau and Gagnan _____.

invented SCUBA
lived in Sealab II
developed u201csign

Answer 32

A scientist is studying the effect on human health of bacteria that live in the human intestine.

Answer 33

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Answer 34

Find the derivative dy/dx if

Answer 35

Alice wanted to compare birthday cake prices in two supermarkets. She wrote down the daily prices for a few days and found that the difference of the two sa

Answer 36

which of the following was directly caused by germanys invasion of Belgium

Answer 37

How do Hallyu2019s memories help advance the plot?

They suggest that Hally is afraid of his father.

Answer 38

math help pls

Answer 39

"If we fight the stranger, we shall hit our brothers and perhaps shed the blood of a clansman.

Answer 40

... help please? am i right?
http://prntscr.com/kjxchc

Answer 41

Solve.
33=8^5z+4

Answer 42

A car is moving southwest at a velocity of 10 meters per second. Five seconds later, it's going 40 meters per second.

Answer 43

If you run 10 km east and then turn around and run 7 km west, how much total distance have you travelled?
A.

Answer 44

Which of the following is a vector measurement?
A. 0.08 g/L
B. 6.5 m/s down
C. 45 m/s slowly
D. 15 km/hr

Answer 45

The beginning of the Anglo-Saxon period roughly corresponds with which historical

Answer 46

What is the angle of rotation for the polygon shown?

https://learning.k12.com/content/enforced/437405-COF_ID125380/Picture2.

Answer 47

What type of transformation is shown in this image?

https://learning.k12.com/content/enforced/437405-COF_ID125380/Picture1.