Transform the Following Summation by Making the Change of Variable $$\sum _ { k = 1 } ^ { n } \frac { k ^ { 2 } } { n }$$

question 18

Essay

Transform the following summation by making the change of variable j = k + 1 : $$\sum _ { k = 1 } ^ { n } \frac { k ^ { 2 } } { n }$$

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Definitions:

Lateral Meristem

A type of meristem or plant tissue that allows for growth in thickness or girth in a maturing plant.

Vascular Cambium

A lateral meristem that produces secondary xylem (wood) and secondary phloem (inner bark). Compare with cork cambium.

Epidermal Outgrowths

Structures like hair, feathers, or scales that develop from the epidermis, the outer layer of skin, in various organisms.

Plasmodesmata

Microscopic channels traversing the cell walls of plant cells and some algal cells, enabling transport and communication between them.