Two sequences cannot be in both AP and GP together .

Find all sequences which are simultaneously A.P. and G.P.

Assertion : Restriction enzymes recongise palindromic sequences. Reason : Palindromic sequences read same in both directions of the two strand.

1,3,9 can be terms of (A) an A.P.but not of a G.P (B) G.P. but not of an A.P. (C) A.P. and G.P both (D) neither A.P nor G.P

State true (T) or false (F): The sum of primes cannot be a prime. The product of primes cannot be a prime. An even number is composite. Two consecutive numbers cannot be both primes. Odd numbers cannot be composite. Odd numbers cannot be written as sum of primes. A number and its successor are always co-primes.

The first term of an A.P. is the same as that of a G.P., the common difference of the A.P. and the common ratio of the G.P. are both 2. If the sum of the first five terms of each series be the same, find the 6^(th) term of each series.

If x ,y ,a n dz are distinct prime numbers, then (a). x , y , a n dz may be in A.P. but not in G.P. (b) x , y , a n dz may be in G.P. but not in A.P. (c). x , y , a n dz can neither be in A.P. nor in G.P. (d).none of these

If the square of differences of three numbers be in A.P., then their differences re in (A) A.P. (B) G.P. (C) H.P. (D) none of these

The nth term of a sequence is 3n-2 is the sequence an A.P.? If so, find its 10th term.

If a,b,c are p^(th) , q^(th) and r^(th) term of an AP and GP both, then the product of the roots of equation a^b b^c c^a x^2 - abcx + a^c b^c c^a = 0 is equal to :

Two organisms belonging to competing species cannot live for together or co exist for long duration in the same niche or habitat. This law is called