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

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

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?

Show that the progression 7,12,17,22,27, …., is an AP. Find its general term and the 14th term.

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 . . .

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) 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) . . .

If the nth term of a progression is (4n-10) show that it is an AP. Find its (i) first term, (ii) common difference, and (iii) 16th term.

The 17th term of an AP exceeds its 10th term by 7.Find the common difference.