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
To find the nth term of a sequence, we first need to identify the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by consecutive odd numbers: 10, 14, 18, 22, and so on. To find the nth term, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference. In this sequence, a_1 = 6 and the common difference is 10. Therefore, the nth term can be expressed as a_n = 6 + (n-1)10.
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
Clearly here the nth term isn't n25.