Other FP1

Question 1

∑r

Answer 1

= 1/2n (n+1)

Question 2

∑1 (the sum of 1 to n of 1)

Answer 2

= n

Question 3

For simultaneous equations where 0=0, let y=t,

Answer 3

x = ? + ?t }∀t∈ ℝ

Question 4

∑ r^2 from 1 to (k+1)

Answer 4

∑r^2 from 1 to k, plus (k+1)^2

Eg. (1^2 + 2^2 + 3^2 … + k^2) + (k+1)^2

Question 5

∑r from n+1 to infinity

Answer 5

= ∑r from 1 to infinity (find the lim) take away ∑r from 1 to n (the original sum)