We note that the numbers rise by addition of ;7;7 between terms.
Hence we can write 7n .
The first term( n- 1) is '9'
So we can write
7(1) + c = 9
7 + c = 9
c = 2
So the nth term becomes 7n + 2
6n+10
30
t(n) = 5 - 7n for n = 1, 2, 3, ... The difference between each term is -7, therefore the nth term will be: t(n) = -2 + -7 × (n - 1) = -2 + 7n + 7 = 5 - 7n
I made a program that made the next 25is sequences after 16. It starts at #3 because 30 is #3 Here it is: 30 48 70 96 126 160 198 240 286 336 390 448 510 576 646 720 798 880 966 1056 1150 1248 1350 1456 1566 1680
The sequence given is -2, -9, -16, -23, -30. This is an arithmetic sequence where each term decreases by 7. The first term (a) is -2, and the common difference (d) is -7. The nth term can be expressed as ( a_n = -2 + (n-1)(-7) = -2 - 7(n-1) = -7n + 5 ).
The nth term is 7n-5 and so the 6th term will be 37
6n+10
9 ,16 ,23, 30 We note that there is a difference of '7' between terms. So the first part of the 'nth' term is 7n. Note the '7' becomes multiple. Next we need to find the constant 'c' So taking the first term (n = 1) we write. 7n + c = 9 7(1) + c = 9 7 + c = 9 c = 2 So the 'nth' term is '7n + 2' To verify , try the 3rd term n= 3 then answer should be '23'. 7(3) + 2 = 21 + 2 = 23 As required.
30
t(n) = 5 - 7n for n = 1, 2, 3, ... The difference between each term is -7, therefore the nth term will be: t(n) = -2 + -7 × (n - 1) = -2 + 7n + 7 = 5 - 7n
{| ! width="260" | 2009 Dates ! width="30" | Mon ! width="30" | Tues ! width="30" | Wed ! width="30" | Thurs ! width="30" | Fri ! width="30" | Sat ! width="30" | Sun | Jan. 2 - May. 2* 9:00 9:00 9:00 9:00 9:00 9:00 9:00 May. 3 - Jun. 20 09:00 23:00 12:15 12:15 23:00 12:15 23:00 12:15 23:00 18:30 12:15 Jun. 21 - Sep. 12 12:30 23:00 12:30 23:00 12:30 23:00 12:30 23:00 12:30 23:00 12:30 23:00 12:30 23:00 Sep. 13 - Oct. 10 09:00 23:00 12:15 12:15 23:00 12:15 23:00 12:15 23:00 18:30 12:15 Oct. 11 - Dec. 31 9:00 9:00 9:00 9:00 9:00 9:00 9:00 Note: There are no scheduled sailings on Dec 25, Jan 1, and Oct 10 (18:30 sailing)! width="260" | 2009 Dates ! width="30" | Mon ! width="30" | Tues ! width="30" | Wed ! width="30" | Thurs ! width="30" | Fri ! width="30" | Sat ! width="30" | Sun | Jan. 2 - May. 2* 16:30 16:30 16:30 16:30 16:30 16:30 16:30 May. 3 - Jun. 20 16:30 08:00 16:30 16:30 08:00 16:30 08:00 16:30 14:30 08:00 16:30 Jun. 21 - Sep. 12 08:30 16:30 08:30 16:30 08:30 16:30 08:30 16:30 08:30 16:30 08:30 16:30 08:30 16:30 Sep. 13 - Oct. 10 16:30 08:00 16:30 16:30 08:00 16:30 08:00 16:30 14:30 08:00 16:30 Oct. 11 - Dec. 31 16:30 16:30 16:30 16:30 16:30 16:30 16:30 Note: There are no scheduled sailings on Dec 25, Jan 1, and May 3 (08:00 sailing)Please Note: All departures are in Atlantic Time. Ferry crossing approximately 3 hours long. |}
Jeopardy - 1984 30-23 was released on: USA: 16 October 2013
23
23 and 53
The next number is 30+7 = 37.
48 Hours - 1988 The Secret 23-16 was released on: USA: 30 January 2010