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 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 -16, 4, -1, 1/4 , ... is a GP. Write down its first term and the common ratio.

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) -1 ,-5/6 , -2/3 ,-1/2 . . .

Show that the progression 1/2, (-1)/3, 2/9, (-4)/27 , ... is a GP. Write down its first term and find the common ratio.

11, 7, 3, -1 is an A.P. whose first term is 11 and the common difference is equal to 7-11=4.

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 sum of the first three terms of an Arithmeic Progression (A.P.) is 42 and the product of the first and third term is 52. Find the first term and the common difference.