Suppose we have the sequence defined by an 5n n 1 2 3 a

Suppose we have the sequence defined by an = 5n, n = 1, 2, 3, . . ..

(a). Show the sequence.

(b). Compute P5 k=1 ak.

Solution

Part a:

sequence is given as a_n = 5n for all n= 1,2,3,....

a_n = 5, 10, 15, 20,.....

Part b:

k=1 => a_k = 5

P(5 5) = 5! / 0! = 5! = 120