This is like not words
the (n-1)th term plus the (n-2)th term.
If you have this series: 1,2,3,4,5,6,7,8The 8th term is 8 and the n-th term is n.But if you have this series: 2,4,6,8,10,12,14,16The 8th term is 16 and the n-th term is 2n
The Nth term formula for oblong numbers is N = N(N+1)
Use the following formula: an = a1 + (n - 1)d, where a1 = the first term n = the n th term (general term) d = common difference (which is constant between terms) Since we need to find the 14 th term, we can write: a1 = 100 n = 14 d = -4 an = a1 + (n - 1)d a14 = 100 + (14 - 1)(-4) a14 = 100 + (13)(-4) a14 = 100 - 52 a14 = 48 Thus, the 14 th term is 48.
The sequence 13579 consists of the first five odd numbers. To find the nth term of this sequence, you can use the formula ( a_n = 2n - 1 ), where ( n ) is the term number. Thus, for any positive integer ( n ), the nth term will be the ( n )th odd number. For example, when ( n = 1 ), ( a_1 = 1 ); when ( n = 2 ), ( a_2 = 3 ); and so on.
Let n (i) = the term number of each term in the sequence., with (i) going from 1-6 E.g term number 1 (n (1) ) is 3. n(2)= -7 etc... Therefore n(i) for odd terms in the sequence is n (i)= (n (i -2)th term +1). For even terms in the sequence, n(i)= (n (i - 2)th term -3).
This is the Fibonacci sequence, where the number is the sum of the two preceding numbers. The nth term is the (n-1)th term added to (n-2)th term
clearly the given series is an arithmetic progression with a common difference of -11,that is every term is obtained by subtracting 11 from the previous term for any A.P, n-th term is a(n)=a(1)+ (n-1)d where a(1)=first term and d=common difference here a(1)=100, and d= -11 so, a(n)=100+(n-1)x(-11) or, a(n)=111-11n
The nth term IS 4n + 3 ie 4 times n and then add 3.
The sequence -8, -6, -4, ... is an arithmetic sequence where each term increases by 2. The function that defines this sequence can be expressed as ( a_n = -8 + 2(n - 1) ) or simplified to ( a_n = 2n - 10 ), where ( n ) is the term number (starting from ( n = 1 )). This formula allows you to find the ( n )-th term of the sequence.
10 - 52 = -15
In an arithmetic series, the common difference ( d ) can be found by subtracting any term from the subsequent term. For example, if you have two consecutive terms ( a_n ) and ( a_{n+1} ), the common difference is calculated as ( d = a_{n+1} - a_n ). You can also determine ( d ) using the formula for the ( n )-th term, ( a_n = a_1 + (n-1)d ), if you know the first term ( a_1 ) and any other term.