Mathematics Past Questions and Answers

Find the range of values of x for which 3x - 7 \(\leq\) 0 and x + 5 > 0

The sum of the first n terms of the arithmetic progression 5, 11, 17, 23, 29, 35, ... is

Find to infinity, the sum of the sequence \(1, \frac{9}{10}, \left(\frac{9}{10}\right)^2, \left(\frac{9}{10}\right)^3,.....\)

If m * n = n - (m+2) for any real number m and n find he value of 3*(-5)

A binary operation ⊗ defined on the set of integers is such that m⊗n = m + n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0