Consider 'the arithmetic sequence 10,17,24,….
i) What is its algebraic form?
ii) Prove that there is no perfect square in this sequence.

Consider the arithmetic sequence 13,23,33,... What is its common difference?

Consider the arithmetic sequence 17,20,23,26,….. a) Write the algebraic form of this sequence. b) Is 400 a term of this sequence?. c) Is the square of any term of this sequence belongs to this sequence? Why?

Write the sequence of perfect squares.

For the arithmetic sequence 6,12,18. Find the 10^(th) term?

Consider the arithmetic sequence 171,167,163,... i) Is '0' a term of this sequence? Why? ii) How many positive terms are in this sequence?

Consider the arithmetic sequence 13,23,33,... What is the first three digit term of this sequence?

23,30,37,.... is an arithmetic sequence a) Write the algebraic form of the sequence. b) Write the algebraic form of the sum of n terms of the sequence. c) Prove that the square of any term of this sequence will not be a term in this sequence. d) Prove that there will be so many, perfect squares in this sequence.

Consider the arithmetic sequence 6,11 ,16,21,….. a) Find the common difference. b) Write the algebraic form of the sequence.

Consider, the arithmetic sequence 2x+1,4x-1,5 x+1,…. a) Find x. b) Write the algebraic form of the sequence. c) Find the position of 195 in this sequence.

Is 101 a term of the arithmetic sequence 13,24,35...? What about 1001?