Question

Consider the sequence given by the formula a(n + 1) = 5a(n) and a(1) = 2 for n ≥ 1.

Answer 1

Answer:

The formula means; a of the next arithmetic n equals to 5 multiplied by a of the preceding n knowing that a of when n=1 is 2 and n must be 1 or greater than 1.

Step-by-step explanation:

a(n + 1) = 5* a(n)  for n≥1

given that

a(1) = 2

therefore:

when n = 1, a(2) = 5* a(1) = 5 * 2 = 10

when n = 2, a(3) = 5*a(2) = 5 * 10 = 50

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The formula means; a of the next arithmetic n equals to 5 multiplied by a of the preceding n knowing that a of when n=1 is 2 and n must be 1 or greater than 1.