examday

Community mocks

Viluxent Set 1 Paper 2 · Q5

Paper 2Sequences & series

Find

∑k=0∞⌊1+800,000,000,000,0004k2⌋.\sum_{k=0}^{\infty}\left\lfloor\frac{1+\sqrt{\dfrac{800,000,000,000,000}{4^k}}}{2}\right\rfloor.
A20,000,00020,000,000
B28,284,27028,284,270
C28,284,27128,284,271
D28,284,27228,284,272
E14,142,13614,142,136
F40,000,00040,000,000
G56,568,54256,568,542
H8,000,0008,000,000

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →