Question

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Answer 1

Ok so, there is a formula to find the partial sum of a geometric series:
http://www.purplemath.com/modules/series/sum19.gif
The difference is because you have a minus 1 after the i, you need to calculate to the 6th term using this formula then add on the 0th term.

Answer 2

http://www.purplemath.com/modules/series5.htm

Answer 3

a is 4 in this case. n is 6. add the 0th term

Answer 4

in addtion, this series does not converge because |3| is not less than 1

Answer 5

do you understand? Just use the formula to calculate it out to the 6th term (forget the i-1) and then add in the 0th term separately.

Answer 6

\[4 \left( \frac{ 1-3^6 }{ 1-3 } \right)\]

Answer 7

this is the formula to compute partial sums the nth term.

Answer 8

putting the values of i=1 to 7 we get the following:
4 x 3^0 + 4 x 3^1 + 4 x 3^2...... + 4 x 3^7

please try to do this way..