Question 1092371
<br>This should be pretty straightforward, if you understand what the first differences of a sequence mean.  The first differences being 3, 5, 7, 9, 11, ... means
3 is the difference between the 1st and 2nd terms;
5 is the difference between the 2nd and 3rd terms;
7 is the difference between the 3rd and 4th terms;
9 is the difference between the 4th and 5th terms; and
11 is the difference between the 5th and 6th terms<br>
So....
A. If the first term of the sequence is 3, then the 2nd is 3+3 = 6; the 3rd is 6+5 = 11; the 4th is 11+7 = 18; the 5th is 18+9 = 27, and the 6th is 27+11 = 38.<br>
B. If the sum of the first two terms is 11, and we know that the difference between the first two terms is 3, then we know the first two terms are 4 and 7.  To get the 3rd through 6th terms, simply add the given differences between terms, as demonstrated in part A.<br>
C. Given that the 5th term of the sequence is 40, you can find the 6th term by adding the known difference between the 5th and 6th terms; and you can find the 4th, 3rd, 2nd, and 1st terms by working backwards, subtracting the known differences between terms.