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The product of first three terms of a G.P. is 1000 . If we add 6 to its second term and 7 to its third term, the resulting three terms form an A.P. Find the terms of the G.P.

In a certain sequence of numbers, each term after the 1 st term is the result of adding 2 to the previous term and multiplying that sum by 3 . If the 4th term in the sequence is 186 , what is the 2 nd term ?

The sequence 9, 18, 27, 36, 45, 54,….. consists of successive mutiple of 9. This sequence is then altered by multiplying every other term by -1, starting with the first term, to prduce the new sequence -9, 18, -27,36,-45, 54,…….. If the sum of the first n terms of this new sequence is 180, determine n.

Statement 1 4,8,16, are in GP and 12,16,24 are in HP. Statement 2 If middle term is added in three consecutive terms of a GP, resultant will be in HP.

An analytical balance has uncertainity in measurement equal to pm1 mg. Then the result in terms of persentage would be if the weight of a compound is 10 g

The greatest and least resultant of two forces acting at a point is 29 kgwt and 5 kgwt respectively . If each force is increased by 3 kgwt , find the resultant of the two new forces when acting at right angles to each other ?

The first term of an infinite G.P. is 1 and every term is equals to the sum of the successive terms, then its fourth term will be

A new sequence is obtained from the sequence of positive integers 1,2,…….., by deleting all the perfect squares. What is the 2015th term from the beginning of the new sequence ?