You mean differentiate both sides? Cause derive is completely different.
If thats what you mean, then yes, I also said that I did use differentiation initially to obtain the result... my comment was simply that mathematical induction is still valid.
When I looked at the question a second time...
The limitting sum is a/(1-r) and the sum to n terms is a(1-r^n)/(1-r), where r is the common difference. The common difference for a gp is achieved by dividing nth term by n-1 term, and if this quotient is consistent for more than one pair of terms, then the series is gp. The way in which the...
Yeah, I just found my older solutions to the paper and thats what I did. Again i just used that as an example. Theres nothing wrong with induction though in the case where you dont immediately recognise something.
Its not GS the way its given to you. 3x/2 is not 4x/3, so there is no common difference unless you re arrange it. In the case where youre not bothered like me, induction should be fine.
Sorry I used the term convergence a bit too broadly, what I meant is proving that it equals something, i.e...
You then would use the horizontal displacement formula x =vcos(alpha),apply the same process except with this formula.
Minimum achieved by simple trig by referring to the building as a side of a right triangle, the base 20 and height 13 (15-2). Tan alpha = 13/20 so alpha = 33 is a minimum...
Yes I would know how to prove both of them without the use of induction as it isnt necessary for any of them.
Suppose a statement were set up and you can identify two variables, one that would act as x and another as n, then prove for the valid set of n by induction.
Proving that a series...
The question showed up in a BOS trial exam for 4 unit - I don't remember it that clearly but it was about proving 1 + 2x +3x^2 .... + nx^(n-1) = some expression in terms of x and n.
My instinct was to use induction as it was a sequence, and proving that it converged to a certain function would...
Hey everyone,
I wanted to ask whether or not you can use induction to prove something even if the question does not ask to use induction. Would you lose marks?
Thanks
I found the mistake!!! Where i evaluated the integral containing (ipi + lnx)^2, i forgot to reconsider the second integral, I2, after proving I1 =-pi^3/2, which happened to be I. Therefore you are left with ipi^3/2 + 2I = -pi^3/4, and I = pi^3/8.