Take any Arithmetic Progression.

In which of the following situations, does the list of numbers involved make an arithmetic progression , and why ? The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time .

In which of the following situations, does the list of numbers involved make an arithmetic progression , and why ? The amount of money in the account every year, when Rs 10,000 is deposited at compound interest at 8% per annum.

In which of the following situations, does the list of numbers involved make an arithmetic progression , and why ? The cost of digging a well after every for the first metre and rises by Rs 50 for each subsequent metre.

In which of the following situations, does the list of numbers involved make an arithmetic progression , and why ? The taxi fare after each km, when the fare is Rs 15 for the first km and Rs 8 for each additional km.

The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.

Let (a_(1),b_(1)) and (a_(2),b_(2)) are the pair of real numbers such that 10,a,b,ab constitute an arithmetic progression. Then, the value of ((2a_(1)a_(2)+b_(1)b_(2))/(10)) is

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 ,………

Cut off potential for a metal in photoclectric effect for light of wavelength lambda_(1), lambda_(2) and lambda_(3) is found to be V_(1),V_(2) and V_(3) volts , If V_(1),V_(2) and V_(3 are in Arithmetic progression then lambda_(1),lambda_(2) and lambda_(3) will be in

If x, y, z are in arithmetic progression and a is the arithmetic mean of x and y and b is the arithmetic mean of y and z, then prove that y is the arithmetic mean of a and b.

Find the sum of given Arithmetic Progression 4+8+ 12+....+ 64