As far as I'm aware, for this part you just need to write a statement saying you assume its true for n=k? There's not much more you need to do for this step.. Would be good if you could post your working out
@Zacken can take over here. I have a Physics exam to revise for
As far as I'm aware, for this part you just need to write a statement saying you assume its true for n=k? There's not much more you need to do for this step.. Would be good if you could post your working out
@Zacken can take over here. I have a Physics exam to revise for
thank you, ive done that but thought i had to do more to help me prove n=k+1
i=1∑k+1(3i+1)=??21(k+1)(3(k+1)+5) - we want to prove this equality somehow, so let's start from the sum:
i=1∑k+1(3i+1)=i=1∑k(3i+1)+3(k+1) - you've assumed something about the sum to k, maybe plug it in and do some factorising to prove what we want to prove?
Hint: The sum to k+1 = The sum to k + the (k+1)th term. Now substitute for the sum to k with the inductive hypothesis (the assumption that the statement is true for n=k).