Prove that the numbers 49, 4489, 444889, …. Obtained by inserting 48 into the middle of the preceding numbers are square of integers.

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.

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

Every rational number is an integer.

If three numbers are in G.P., then the numbers obtained by adding the middle number to each of these numbers are in

If three numbers are in H.P., then the numbers obtained by subtracting half of the middle number from each of them are in

The sum of three consecutive even numbers is 48. Find the numbers.

The set of squares of integers and the set of whole numbers are equal sets.

Given the number of products obtained on inserting metjhylene in the following alkanes. a.

The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find this value of x.