equal squares as large as possible
are drawn on a rectangular ceiling board
measuring 54cm by 78cm,find
(a)The size of the squares
(b)The total number of squares
it is given that
(1/n)Σ_(r=1) ^n x^r =2 and (√((1/n)Σ_(r=1) ^n (x_r )^2 −(1/n^2 )(Σ_(r=1) ^n )^2 ))= 3
determine in terms of n the value
of.
Σ_(r=1) ^n (x_r +1)^2
let give u_n = ∫_0 ^π ((cos(nx)dx)/(1−2λcosx +λ^2 ))
1) prove that λ u_(n+2) −(1+λ^2 )u_(n+1) +λ u_n =0
2) ptove that Σ u_n is convergent and find its sum