Prove that in a sequence of numbers 49,4489,444889,44448889 in which every number is made by inserting 48-48 in the middle of previous as indicated, each number is the square of an integer.

If a_na_(n-1)a-(n-2),.,a_3,a_2,a-1 be a digit having a_1,a_2,a_3,…..a_n t unti, thens hundred places respectively. Then a_n a_(n-1) a_(n-2)….a_3a_2a_1= a_nxx1+a_2xx10^2+a_3xx10^3+…..+a_n10^(n-1) On the basis of above information answer the following question For a sequence {t_n},t_1=49, t_2= 4489, t_3=444889 in which every number is made by inserting 48 in the middle of the previous number. The for all nepsilonN, t_n is (A) square of an odd integer (B) divisible by 3 (C) divisible by 9 (D) none of these

Find the number of integers n for which (n)/(20-n) is the square of an integer.

Find the LCM of the following numbers in which one number is the factor of the other. 8,48

Find whether each of the following numbers is a perfect square or not" 49

Find the smallest square number that is divided by each of the number, 4,9 and 10.

Find whether each of the following numbers is a perfect square or not ? 49

Prove that the sum of any positive integer and its square is an even number.

If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one .

If each number of a sequence is 4 more than the previous number, and the 3rd number in the sequence is 13, what is the 114th number in the sequence?