Short Answer TypeWhich term of the sequence 12 + 8i, 11 + 6i, 10+41i, ....... is
(i) purely real  (ii) purely imaginary?
Which term of the sequence 
is the first negative term?
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is an A.P. with a = 24, 
Let the nth term of the given A.P. be the first negative term.
Then,            
or           24 + (n - 1) 
     or    96 - 3n + 3 < 0
or                        99 - 3n < 0               or               3n > 99
or                                 n > 33
Since 34 is the natural number just greater than 33.
∴ n = 34, Hence, 34th term of the given A.P. is the first negative term.
Determine the number of terms in an A.P. 3, 8, 13, .......253. Also, find 12th term from the end.
Find the 2nd term and the rth term of an A.P. whose 6th term is 12 and 8th term is 22.
Determine K, so that K + 2, 4K – 6 and 3K – 2 are three consecutive terms of an A.P.
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.
Switch
and the nth term is 
find the (mn)th term.
