SOLUTION: The first number is 1 and the 58th number is 3. what are the numbers in between 1 & 3 (from 2nd to 57th)? thank you very much for the answer..

Algebra ->  Sequences-and-series -> SOLUTION: The first number is 1 and the 58th number is 3. what are the numbers in between 1 & 3 (from 2nd to 57th)? thank you very much for the answer..      Log On


   



Question 603677: The first number is 1 and the 58th number is 3. what are the numbers in between 1 & 3 (from 2nd to 57th)? thank you very much for the answer..
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
an = a1 + (n-1)·d

a58 = 1 + (58-1)·d

3 = 1 + (57)·d

2 = 57d

2%2F57 = d

So you start with 1, then add 2%2F57 and get 1%262%2F57
and then add 2%2F57 to that and keep doing that and when
you get to the 58th term, it will be 3.  Here they all are:

1.  1
2.  1%262%2F57
3.  1%264%2F57
4.  1%262%2F19
5.  1%268%2F57
6.  1%2610%2F57
7.  1%264%2F19
8.  1%2614%2F57
9.  1%2616%2F57
10.  1%266%2F19
11.  1%2620%2F57
12.  1%2622%2F57
13.  1%268%2F19
14.  1%2626%2F57
15.  1%2628%2F57
16.  1%2610%2F19
17.  1%2632%2F57
18.  1%2634%2F57
19.  1%2612%2F19
20.  1%262%2F3
21.  1%2640%2F57
22.  1%2614%2F19
23.  1%2644%2F57
24.  1%2646%2F57
25.  1%2616%2F19
26.  1%2650%2F57
27.  1%2652%2F57
28.  1%2618%2F19
29.  1%2656%2F57
30.  2%261%2F57
31.  2%261%2F19
32.  2%265%2F57
33.  2%267%2F57
34.  2%263%2F19
35.  2%2611%2F57
36.  2%2613%2F57
37.  2%265%2F19
38.  2%2617%2F57
39.  2%261%2F3
40.  2%267%2F19
41.  2%2623%2F57
42.  2%2625%2F57
43.  2%269%2F19
44.  2%2629%2F57
45.  2%2631%2F57
46.  2%2611%2F19
47.  2%2635%2F57
48.  2%2637%2F57
49.  2%2613%2F19
50.  2%2641%2F57
51.  2%2643%2F57
52.  2%2615%2F19
53.  2%2647%2F57
54.  2%2649%2F57
55.  2%2617%2F19
56.  2%2653%2F57
57.  2%2655%2F57
58.  3

Edwin