Find the 6th term of the geometric sequence whose common ratio is 1/3 and whose first term is 7.

Answer 1

Here's how the sequence should go (first 4 terms):

1.....2.....3.....4
7, 7/3, 7/9, 7/27

Notice how I started with 7 and multiplied it by the common ratio (1/3) to determine the second term. Multiplying the latter by 1/3 again gives you the next term, and so on.

Use the pattern to find the sixth term.

Answer 2

A table of values of a linear function is shown below. Find the output when the input is n.

Input 1 2 3 4 n

Output 2 1 0 -1 ?

Answer 3

7/243