Write 3 more Arithemic Progressions.

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 ,………

Take any Arithmetic Progression.

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

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.

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

The sum of interior angles of a triangle is 180^(@) . Show that the sum of the interior angles of polygons with 3,4,5,6…..sides form an arithmetic progression. Find the sum of the interior angles for a 21 sided polygon.

If a_(1), a_(2), a_(3) ,…., a_(n) are the terms of arithmatic progression then prove that (1)/(a_(1)a_(2)) + (1)/(a_(2)a_(3)) + (1)/(a_(3)a_(4)) + ….+ (1)/(a_(n-1) a_(n)) = (n-1)/(a_(1)a_(n))

Let a,b,c , are non-zero real numbers such that (1)/(a),(1)/(b),(1)/(c ) are in arithmetic progression and a,b,-2c , are in geometric progression, then which of the following statements (s) is (are) must be true?

Find the sum to indicated number of terms in each of the geometric progressions in Exercises 1, - a, a^2, - a^3, .......n terms (if a ne -1 )

Find the sum to indicated number of terms in each of the geometric progressions in sqrt7, sqrt(21)3sqrt7 , ........n terms