Help with 5 questions please Infinite, Convergent, and Divergent Series
give me a minute to post the first question dont leave :3
k here it is
@iambatman @ikram002p @myininaya @Compassionate @robtobey @whpalmer4 @phi
i think its d
help :(
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.
@whpalmer4 i need help with 2 more can u help me real quick?
k here i know the sum is -5 just dont know if its convergent or divergent
real quick
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?
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)
Remember, for a geometric series to converge, the absolute value of the common ratio must be < 1...
looks to me as if each term in this one is 4x times the previous one...
is it divergent or convergent
Refer to the Mathematica attachment.
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...
Join our real-time social learning platform and learn together with your friends!