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Mathematics 18 Online
OpenStudy (anonymous):

Help with 5 questions please Infinite, Convergent, and Divergent Series

OpenStudy (anonymous):

give me a minute to post the first question dont leave :3

OpenStudy (anonymous):

k here it is

OpenStudy (anonymous):

@iambatman @ikram002p @myininaya @Compassionate @robtobey @whpalmer4 @phi

OpenStudy (anonymous):

i think its d

OpenStudy (anonymous):

help :(

OpenStudy (whpalmer4):

Yes, d) appears to be correct. The formula gets you the right number of jumps for the 3rd trip down the hill (5+3+3=11) and the sum is correctly computed.

OpenStudy (anonymous):

@whpalmer4 i need help with 2 more can u help me real quick?

OpenStudy (anonymous):

k here i know the sum is -5 just dont know if its convergent or divergent

OpenStudy (anonymous):

real quick

OpenStudy (whpalmer4):

How can you know there is a sum without knowing if it is convergent or divergent? Also, how can the sum be a negative number if you're adding nothing but positive numbers?

OpenStudy (whpalmer4):

I suggest you figure out the first few values and see if you really think that is the sum (and consider whether there is a sum)

OpenStudy (whpalmer4):

Remember, for a geometric series to converge, the absolute value of the common ratio must be < 1...

OpenStudy (whpalmer4):

looks to me as if each term in this one is 4x times the previous one...

OpenStudy (anonymous):

is it divergent or convergent

OpenStudy (anonymous):

Refer to the Mathematica attachment.

OpenStudy (whpalmer4):

An infinite series cannot be convergent if each term is larger than the previous one! That's like asking if 1 + 2 + 3 + 4 + 5 + 6 + 7 + ... adds up to a single number if you keep going...

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