Which of these are Arithmetic Progressions and why?
(a) 2,3,5,7,8,10,15,……..
(ii) 2,5,7,10,12,15,……..
( c) `-1,-3,-5,-7`,………

Write the next three terms of the given arithmetic progression: i] 3, -2, -7, ….. ii] 0, 5, 10,….. iii] 119, 136, 157, ….

Find 'd' in the following arithmetic progressions: i] 2, 5, 8, 11, 14 ....... ii] -3, -1, 1, 3, .... .. iii] 0, -8, -16, ...... iv] (1)/(2), (3)/(2) , (5)/(2) , ….

Which of the following cannot be the probability of an event? (A) 2/3 (B) -1.5 (C ) 15% (D) 0.7

A={1,2,3,4,5,6,7,8,9,10}, B={2,3,5,7}. Find A cap B

The distance (in km) of 40 engineers from their residence to their place of work were found as follows : {:(5,3,10,20,25,11,13,7,12,31),(19,10,12,17,18,11,32,17,16,2),(7,9,7,8,3,5,12,15,18,3),(12,14,2,9,6,15,15,7,6,12):} Construct a grouped frequency distribution table with class size for the data given above taking the first interval as 0-5 (5 not included). What main features do you observe from this tabular representation ?

The sum of n terms of two arithmetic progressions are in the ratio (3n + 8) : (7n + 15). Find the ratio of their 12^("th") terms.

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} (ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} (iii) {(1,3),(1,5),(2,5)}

Find the mean deviation about the median for the data in {:("x"_(i),5,7,9,10,12,15),("f"_(i),8,6,2,2,2,6):}

Verify Property 2 for Delta ={:|( 2,-3,5),(6,0,4),( 1,5,-7)|:}