Find the first six terms of the sequence whose first term is 1 and whose (n+l)th term is obtained by adding n to the nth term.
Consider the sequence defined by tn = an2 + bn + c. If t2 = 3, t4 = 13 and t7 = 113, show that 3tn = 17n2 – 87n + 115
Write first five terms of the following sequence and obtain the corresponding series.
for all n>1
Write first five terms of the following sequence and obtain the corresponding series.
, n>2
Here,
...(i) (for n>2)
Putting n = 3 in (i), we get
Putting n = 4 in (i), we get
Putting n = 5 in (i), we get
The corresponding series is: 2 + 2 + 1 + 0 - 1 ...............
Show that the sequence defined by (where A and B are constant) is an A.P. with common difference A.