Question

Determine whether the problem should be solved using the formula for an arithmetic sequence, arithmetic series, geometric sequence, or geometric series. Explain your answer in complete sentences. You do not need to solve.

Jackie deposited $5 into a checking account in February. For each month following, the deposit
amount was doubled. How much money was deposited in the checking account in the month of
August?

Answer 1

@snowman97 Can you help me out ?:)

Answer 2

sure

Answer 3

Do you know the answer to my problem?

Answer 4

have answer choices

Answer 5

Determine whether the problem should be solved using the formula for an arithmetic sequence, arithmetic series, geometric sequence, or geometric series. Explain your answer in complete sentences. You do not need to solve.

Answer 6

you have to use gp with r=5,
and then sum i hope this helps

Answer 7

@yashdhanuka Thank you so much, can you help me with a few more of these exact problems.. they confuse me

Answer 8

A local grocery store stacks the soup cans in such a way that each row has 2 fewer cans than
the row below it. If there are 32 cans on the bottom row, how many total cans are on the bottom 14 rows?

Answer 9

yes sure:D will be glad to help you.

Answer 10

shouldn't the geometric series have common ratio as 2???

Answer 11

Wait what does gp stand for haha

Answer 12

omg! am sorry yes i typed 5 by mistaske xavier is absolutely right.

Answer 13

haha but what does gp stand for?

Answer 14

geometric progression :D

Answer 15

so it is geometric series?

Answer 16

yes

Answer 17

yes

Answer 18

okay so A local grocery store stacks the soup cans in such a way that each row has 2 fewer cans than
the row below it. If there are 32 cans on the bottom row, how many total cans are on the bottom 14 rows? this is geometric series?

Answer 19

This is a question of Arithmetic Progression and not that of a GP.

Let number of cans in the top most row be = a

In this case the common difference (d) = 2

According to the question there are 14 rows in all. And the Bottom Row ( 14th ) has 32 cans.

Hence -----

=> 32 = [ a + ( 14 - 1 ) 2 ]

=> a = 6

We have now to calculate total number (N) of cans in the whole lot.


=> N = ( 14/2 ) [ 6 + 32 ] = 266 .

Answer 20

nope... here your number of cans in each row always differ by 2... i.e. d,d-2,n-4,n-6 and so on... this is an arithmetic series

Answer 21

@nomad96 did you understand?

Answer 22

Alright now what would Jackie deposited $5 into a checking account in February. For each month following, the deposit
amount was doubled. How much money was deposited in the checking account in the month of
August? be

Answer 23

nomad until and unless you do the sums on your own you will never understand :D

Answer 24

but it says you dont have to solve them

Answer 25

I already know how to solve sequences and series, I did 4 lessons on it

Answer 26

:) thats really nice :D

Answer 27

So can you just help me? I really am stuck on this

Answer 28

sure a[r^n-1]/[r-1]
so
by substituion
as there are 6 months n=6
so
we get 5 * 63 :D

Answer 29

and what sequence or series would that be?

Answer 30

its an gp
and we use the formula for sum of gp :D

Answer 31

geometric sequence?

Answer 32

yes :)

Answer 33

yay thanks :) what about A major US city reports a 12% increase in decoration sales during the yearly holiday season. If decoration sales were 8 million in 1998, how much did the city report in total decoration sales by the end of 2004?

Answer 34

Total no of years to be considered = ( 2004 - 1998 ) = 6 years.

According to the problem, Total sale in the year 1998 was = 8 M , Hence -- Total sale in 2004

=> 8 [ 1 + (12/100) ]⁶ = 15.79058148 M

Answer 35

So it would be geometric series

Answer 36

yes :D

Answer 37

A fireplace contains 46 bricks along its bottom row. If each row above decreases by 4 bricks, how many bricks are on the 12th row?

This would be arithmetic sequence?

Answer 38

yes :) whats your name?

Answer 39

nomad

Answer 40

sweet name <3

Answer 41

I was just kidding but thanks

Answer 42

Using complete sentences, explain the difference between an exponential function and a geometric series.

Answer 43

last one !!:)

Answer 44

Let r = e^(1/n)

Integral_[0,1] e*x dx = lim_(n --> oo) [1 + r + r^2 + ... + r^(n-1)]/n

= ( r^n - 1)/ n ( r - 1)

= (e - 1)/ denominator

denominator D(n) = (e^(1/n) - 1)/(1/n) --> d/dx (e^(x)) at x = 0 = 1

Therefore Integral _[0.1] e^x dx = e - 1
----

Interest : rate r %compounded every 3 months.

Money in account after 1 year: M)1) = (1 + r/400)^4 M(0)

Compound n times per year :M(1) = ( 1 + (1/n)(r/100))^n M(0))

Continuous compounding: n --> oo

M(1) = e^(r/00) M(0)

Best I can do.

Answer 45

why dont you reply? :(

Answer 46

Sorry I stepped outside for a min @yashdhanuka