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Deduce a formula (in terms of n) for the following sum: sum (2^i * i) where 1<=i<=n, n,i: natural numbers ( one can write this sum as: 1*2^1+ 2*2^2+ .. +n*2^n)

Let S = sum i* 2i (i=1,2..n) We multiply this by 2 and we obtain:2S = sum (i2i+1 ) = sum [(i+1-1) * 2i+1 ]= sum[ (i+1)2i+1 ] - sum 2i+...

AS
Answered by Alexandru S. MAT tutor
1796 Views

How should I approach writing a personal statement?

The key to writing a personal statement is to make it personal. Avoid using flowery language that you wouldn't use in everyday life, keep it professional sounding but make sure its your own voice. Make su...

ES
1473 Views

How does long shore drift work?

Long shore drift is the process by which sediment is moved along a beach in the direction of the prevailing wind. Sediment is sand, gravel and other small particles that make up a beach and seabed. The pr...

ES
Answered by Ella S. Geography tutor
4505 Views

Escríbe un mensaje a tu amigo español. Menciona algo que hiciste recientemente que fue muy divertido y qué haces para mantenerte en forma.

¡Hola amigo! ¿Cómo estás? Tengo que decirte, la semana pasada, tuvo una experiencia inolvidable. Mis amigos y yo fuimos a un festival en el parque para celebrar los artistas musicales jóvenes que han teni...

CA
Answered by Chrystine A. Spanish tutor
2823 Views

Discuss Shakespeare's representation of gender in Macbeth?

In Macbeth (1606), Shakespeare’s representation of gender both adheres to contemporary notions of gender roles and subverts them. Lady Macbeth and Macbeth’s actions are uncharacteristic in that o...

AP
29121 Views

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