Insert three numbers between 1 and 256 so that the resulting sequence is a GP.

Insert two numbers between 3 and 81 so that the resulting sequence is a G.P.

Insert five numbers between 8 and 26 such that the resulting sequence is an AP.

Insert two numbers between 3 and 81 iso that the resulting sequence is G . P

Insert three A.M.s between 11 and 14

Between 1 and 31, m numbers have been inserted in such a way that the resulting sequence is an A.P. and the ratio of 7^(th) and (m-1)^(th) numbers in 5:9. Find the value of m.

Find the rational numbers between 1/5 and 1/6 .

If n arithmetic means are inserted between 2 and 38 then the sum of the resulting series is obtained as 200 . Then find the value of n.

Consider the numbers between 100 and 300 which leave remainder 2 on division by 3 a) Which is the first number in this sequençe? b) Which is the last number in this sequence? c). How many such numbers are there in this sequence? d) Find the, sum of all numbers in the sequence.

The numbers a_(1),a_(2),a_(3),…….. form an arithmetic sequence with a_(1)nea_(2) . The three numbers a_(1),a_(2) and a_(6) form a geometric sequence in that order. Then the common difference of the arithmetic sequence is

Suppose that three numbers are in G.P The product of three numbers be 216.If 2.8.6 are added to them, the results are in A.P. then find the numbers