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Maths
IB

A geometric sequence has all its terms positive. The first term is 7 and the third term is 28.

THIS IS FOR MATHS STUDIES, NOT MATHS SLThe question is from the 2014 specimen paper
First, find the common ratio:U1 = 7U3 = 28
(Identify Formula): Un = U1 x r^n-1 U3 ...

Answered by Lottie W. Maths tutor
4504 Views

Prove by mathematical induction that (2C2)+(3C2)+(4C2)+...+(n-1C2) = (nC3).

Firstly, show the equation is true for n = 3 (as this is the samllest n that nC3 is defined): LHS = (2C2) = 1 = (3C3) = RHStherefore, true for n=3.
Then assume true for n = k:(2C2)+(3C2)+(4C2)+...+(k...

Answered by Henry X. Maths tutor
13900 Views

log_10⁡((1/(2√2))*(p+2q))=(1/2)(log_10⁡p+log_10⁡q),p,q>0,find p in terms of q.

log10[(1/2√2)(p+2q)]=(1/2)(log10p+log10q)log10[(1/2√2)(p+2q)]=(1/2)(log10pq)log10[(1/2√2)(p+2q)]=log10(pq)1/2...

Answered by Henry X. Maths tutor
7862 Views

Can you explain the approach to solving IB maths induction questions?

Proof by maths induction is a type of proof used in mathematical analysis to demonstrate that a certain expression or statement P(n) involving an arbitrary neutral number n is true for all n belonging to ...

Answered by Vlad B. Maths tutor
1480 Views

Finding complex numbers using DeMoivre's Theorem

Find the cube roots of 21/2cis(pi/4)
21/2cis(pi/4+ 2pi k), for every integer k
By DeMoivre:
21/2
1/3cis((pi/4+ 2pi k)/3)321/6

Answered by Lisa R. Maths tutor
2989 Views

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