Prove that for a set of numbers in arithmetic sequence, the mean and median are equal.

Prove that for any four consecutive. terms of an arithmetic sequence, the sum of the two terms on the two ends and the sum of the two terms in the middle are.the same.

Insert 6 arithmetic means between 3 and 24.

If the angles of a right triangle are in an arithmetic sequence,find them by making suitable equations.

Write the arithmetic sequence with first term 2 and common difference 3.

Write three arithmetic sequences with. sum 70 and having 5 terms.

Write the whole numbers in 'the arithmetic sequence 11/8, 14/8, 17/8,….. Do they form an arithmetic sequence?

Prove that the arithmetic sequence with first term 1/3 and common difference 1/6 contains all natural numbers.

Prove that the arithmetic sequence 7,11,15, ………. does not contain perfect square.

Prove that the arithmetic sequence with first term frac(1)(3) and common difference frac(1)(6) contains all natural numbers.

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.