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c. The 100th term of 1, 3, 9, ... is
(Simplify your answer. Type your answer using exponential notation.)


Sagot :

Answer:

Step-by-step explanation:

Remark

We really should have 1 more term in the sequence. There could be a lot of things that determine what the sequence is. I'm going to say that each term is multiplied by 3

Givens

a1 = 1

r = 3

Formula

tn = a1 * 3^(n-1)

t100 = 1 * 3^(100 - 1)

t_100 = 3^99

t_100 = 1.72 * 10^47

This really is a scientific calculator problem. If you don't own such a thing, but you have windows 10 on your computer, go to the calculator. Go to the scientific calculator and put in these key strokes.

3

x^y

99

=

This is what you get

1.7179250691067044367882037658854e+47

Naturally, I rounded it a bit.