Short Answer TypeWhich term of the sequence 12 + 8i, 11 + 6i, 10+41i, ....... is
(i) purely real (ii) purely imaginary?
Determine the number of terms in an A.P. 3, 8, 13, .......253. Also, find 12th term from the end.
The given A.P. is : 3, 8, 13, ....., 253
Here, a = 3, d = 8 - 3 = 5
Let there be n terms of an A.P.
∴ 
or 
or a + (n - 1)d = 253 or 3 + (n - 1) 5 = 253
or 3 + 5n - 5 = 253 or 5n - 2 = 253
or 5n = 255 or n = 51
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∴ 12th term from end = 253 - (12 - 1)5 = 253 - (11) (5) = 253 - 55 = 198
Find the 2nd term and the rth term of an A.P. whose 6th term is 12 and 8th term is 22.
Long Answer TypeShort Answer TypeIf m times the mth term is equal to n times the nth term of an A.P. Prove that (m + w)th term of an A.P. is zero.
If (m + l)th term of an A.P. is twice the (n + l)th term. Prove that (3m + l)th term is twice the (m + n + l)th term.
defined by 
is not an A.P.
is the first negative term?
Switch
and the nth term is 
find the (mn)th term.
