For this question we are looking at arithmetic sequences. A sequence is any set of numbers in a particular order. An arithmetic sequence is a specific type of sequence where the difference between 2 consecutive terms is constant. The difference is called the common difference. In your problem...
t_n = 3n + 2
we need to find the common difference, then we can find the 1st four terms. Find the 1st term by replacing n with 1.
t_1 = 3(1) +2 t_1 = 3 +2 = 5
Find the second term by replacing n with 2
t_2 = 3(2) + 2 = 8
and so on
t_3 = 3(3) + 2 = 11
t_4 = 3(4) + 2 = 14
The 1st 4 numbers in the sequence are 5,8,11, and 14.
You can see the common difference is d=3. You could plug any number into the equation to find that number in the sequence. For example, the 100th number in the sequence would be
Find the point estimate by dividing the number of respondents that thought it was a major economic concern by the total number of people in the survey:
