Write the algebraic form of 1,4,7,10,... Is 100 a term of this sequence. Why ? Prove that the square of any term of this sequence belongs to that sequence.

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?

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.

Prove that the squares of the sequence 1,3,5, ... belongs to that sequence itself.

Prove that the squares of all the terms of the arithmetic sequerice 4,7,10,….. belong to the sequence.

Algebraic form of an n^(th) term of an arithmetic sequence is 8n-4. Prove that the sum of the n consecutive terms of this sequence is a perfect square.

98 is a term of the sequence having common difference 7. Is 2016 a term of this sequence? Why?

The algebraic form of an arithmetic sequence is 5n+5 Can the difference of any two terms of this sequence be 368? Justify.

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?

The n^(th) term of a sequence is given by a_n=4n+7 List the first 4 terms of the sequence

Consider an arithmetic sequence with first term 18 and common difference 3. i) Write the terms of this sequence. ii) Write the perfect square terms of this sequence. Check whether it is an arithmetic sequence.