Home
Class 12
MATHS
Show that each of the progressions given...

Show that each of the progressions given is an AP. Find the first term , common difference and next term of given series
`(ii) 11 ,6, 1 ,-4 . . . `

Text Solution

AI Generated Solution

To show that the given series \(11, 6, 1, -4, \ldots\) is an Arithmetic Progression (AP), we need to check if the difference between consecutive terms is constant. ### Step 1: Identify the Terms Let's denote the terms of the series: - First term \(a_1 = 11\) - Second term \(a_2 = 6\) - Third term \(a_3 = 1\) - Fourth term \(a_4 = -4\) ...
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos
  • BINARY OPERATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|224 Videos

Similar Questions

Explore conceptually related problems

Show that each of the progressions given is an AP. Find the first term , common difference and next term of given series (i) 9 ,15 , 21 , 27 . . .

Show that each of the progressions given is an AP. Find the first term , common difference and next term of given series (iii) -1 ,-5/6 , -2/3 ,-1/2 . . .

Show that each of the progressions given is an AP. Find the first term , common difference and next term of given series (iii) sqrt(20) ,sqrt(45) , sqrt(80) ,sqrt(125) . . .

Show that each of the progressions given is an AP. Find the first term , common difference and next term of given series (iii) sqrt2 ,sqrt8 , sqrt(18) ,sqrt(32) . . .

Show that the progressions given below is an AP. Find the first term, common difference and next term of each given series. (1) 9, 15, 21, 27, …. (ii)11, 6, 1, -4… (iii) -1, (-5)/(6), (-2)/(3), (-1)/(2),…. (iv) sqrt(2), sqrt(8), sqrt(18), sqrt(32), .... (v)sqrt(20), sqrt(45), sqrt(80), sqrt(125),...

Show that the progression 11, 6, 1, -4, -9, …. is an AP. Find its first term and the common difference.

Show that the progression 8, 11, 14, 17, 20, … is an AP. Find its first term and the common difference.

Show that each of the following progression is an AP. Find the common difference and the next term of each. (i) sqrt(7), sqrt(28), sqrt(63), …. (ii) sqrt(18), sqrt(50), sqrt(98),

Show that the progression 21,16,11,6,1,…, is an AP. Write its first term and the common difference. Which term of this AP is -54?

Find the first term and common difference of the given AP - a, 2a, 3a, 4a,........