6. Find the Pascal sequence when n = 5, 6, 7 and 8.
Автор: @mathwithabbas
Загружено: 2026-02-22
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Exercise 4.1
1. sequences: Find the nth term (rule of formation) of each of the following
(i) 2,4,6,
(ii) 12,22,32,....
(iii) 3,9,27,...
1 2 3 4 (iv) 2'3'4'5'
(v) 1, - 1/3, 1/9, - 1/27
(vi) 1,8,27,64, ...
2. Find the first five terms of sequences with the given general terms.
(i) (2n)/3 * (n + 1)
(ii) (- 1) ^ (n + 1) * 3 ^ (n - 1)
(iii) 1/4 * n ^ 2 * (n + 1) ^ 2
(iv) n/(3n + 1)
(v) 1/6 * n(n + 1)(n + 2)
(vi) 1/6 * n(n + 1)(2n + 7)
(vii) a_{1} = 2 a n + 1 =6+a n
(viii) a_{1} = 1 a n = n/2 a n+1
3. Find the sequence by using T n + 1 =(n+1)T n where T_{1} = 2 ,
A
4. Find the values of n ^ (th) term of triangular sequence when n = 7, 9, 12 and 16.
5. Find the first five terms of the sequence with general term: a_{n} = ((n + 1)!)/(2!)
6. Find the Pascal sequence when n = 5, 6, 7 and 8.
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