Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (katecc379):

dd

OpenStudy (katecc379):

@ganeshie8

ganeshie8 (ganeshie8):

Reading the question, can you guess what the first term would be ?

OpenStudy (katecc379):

32.55?

ganeshie8 (ganeshie8):

No, how much area has it covered in the first day ?

OpenStudy (katecc379):

31

ganeshie8 (ganeshie8):

That's the first term. Easy.

OpenStudy (katecc379):

ohh okay haha

OpenStudy (katecc379):

thought i needed to use the 105%

ganeshie8 (ganeshie8):

I see, what you had earlier is the second term.

ganeshie8 (ganeshie8):

So, first term = 31

ganeshie8 (ganeshie8):

Look at the options and see if you can guess the correct answer

OpenStudy (katecc379):

b?

ganeshie8 (ganeshie8):

Yes! good guess !

OpenStudy (katecc379):

are these two correct?

ganeshie8 (ganeshie8):

#17 is wrong

ganeshie8 (ganeshie8):

#18 is correct

OpenStudy (katecc379):

how do i do 17

ganeshie8 (ganeshie8):

You should get a negative answer for #17

OpenStudy (katecc379):

-.2?

ganeshie8 (ganeshie8):

Yes

OpenStudy (katecc379):

ganeshie8 (ganeshie8):

Very close, but it is wrong. Try again.

ganeshie8 (ganeshie8):

|dw:1470377218150:dw|

OpenStudy (katecc379):

b?

ganeshie8 (ganeshie8):

Yep, exponent is n-1. This is always tricky haha

OpenStudy (katecc379):

yeah confused me lol

OpenStudy (katecc379):

correct?

OpenStudy (katecc379):

and help with this

ganeshie8 (ganeshie8):

Some thing was terribly wrong with you if you weren't confused ;)

OpenStudy (katecc379):

hahaha

ganeshie8 (ganeshie8):

1/2 is right

ganeshie8 (ganeshie8):

|dw:1470377431508:dw|

ganeshie8 (ganeshie8):

so thr sequence is 2, 4, 8, ...

ganeshie8 (ganeshie8):

My first feeling is that it may be geometric.

ganeshie8 (ganeshie8):

So I'd like to find the common ratio

OpenStudy (katecc379):

2?

ganeshie8 (ganeshie8):

Yes, what's the first term ?

OpenStudy (katecc379):

2

OpenStudy (katecc379):

so c?

ganeshie8 (ganeshie8):

Good, so whats the formula for nth term ?

ganeshie8 (ganeshie8):

C it is! good

OpenStudy (katecc379):

OpenStudy (katecc379):

would it be a?

ganeshie8 (ganeshie8):

yes

ganeshie8 (ganeshie8):

this is boring, looks you have mastered these sequences and series by now ;)

OpenStudy (katecc379):

theres only two more can you just double check for me

ganeshie8 (ganeshie8):

shoot

OpenStudy (katecc379):

d?

ganeshie8 (ganeshie8):

What's the common ratio here ?

OpenStudy (katecc379):

1/5,which is below 1

ganeshie8 (ganeshie8):

That means the series converges for sure. Google for the sum of infinite geometric series formula

OpenStudy (katecc379):

oh okay

OpenStudy (katecc379):

105?

ganeshie8 (ganeshie8):

yes

OpenStudy (katecc379):

i just have one left and i have no idea how to do it, but then were done I'm sorry

ganeshie8 (ganeshie8):

lets see

OpenStudy (katecc379):

ganeshie8 (ganeshie8):

So the given expression is -5i + 2

ganeshie8 (ganeshie8):

Plugin i = 1 to get the first term

ganeshie8 (ganeshie8):

first term = -5*1 + 2 = ?

OpenStudy (katecc379):

-3?

ganeshie8 (ganeshie8):

Yes, notice that common difference is -5 here.

OpenStudy (katecc379):

okay

ganeshie8 (ganeshie8):

first term = -3 common difference = -5 Can you find the sum of the first 10 terms ?

ganeshie8 (ganeshie8):

|dw:1470378217952:dw|

OpenStudy (katecc379):

what is n? 10?

OpenStudy (katecc379):

so -255?

ganeshie8 (ganeshie8):

Very good !

OpenStudy (katecc379):

forgot one lol how much do you hate me

OpenStudy (katecc379):

Find the sum of a finite arithmetic sequence from n = 1 to n = 15, using the expression 2n + 5.

ganeshie8 (ganeshie8):

Haha, not much yet ;)

ganeshie8 (ganeshie8):

So we have 15 terms in the arithmetic sequence

ganeshie8 (ganeshie8):

the expression is 2n+5 plugin n = 1 to get the first term

OpenStudy (katecc379):

7

ganeshie8 (ganeshie8):

Can you eyeball the common difference from the given expression ?

OpenStudy (katecc379):

2

ganeshie8 (ganeshie8):

Perfect! You knew the formula for sum

ganeshie8 (ganeshie8):

|dw:1470378666269:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!