Question

evaluate the series 6+2+2/3+2/9+...a6

Answer 1

Keep dividing by 3, till you get to the 6th term.

Answer 2

It appears to be of the form $$\sum_{k}\frac{c}{3^k}$$

Answer 3

You are given the first four terms, find the fifth and sixth, then add them up.

Answer 4

how do you find the fifth and sixth terms?

Answer 5

Each term is a third of the preceding one. A third of 2/9 is about 2/27. A third of that is 2/81. That gives the first six terms in the sequence; just add them up.

Answer 6

2/27+2/81= 8/81or .0987

Answer 7

No, you have to add up all six terms. The four they gave you in the problem and the two we just figured out.

Answer 8

ok one sec

Answer 9

8.98

Answer 10

That is only an approximation. The exact answer will be a fraction.

Answer 11

728/81?

Answer 12

I just did it in my head, but I think that is about right. Do math every day.