Home
Class 10
MATHS
The angles of a pentagon are in arithmet...

The angles of a pentagon are in arithmetic sequence. Prove that its smallest angle is greater than `36^@`.

Promotional Banner

Similar Questions

Explore conceptually related problems

The angles in a 9 sided polygon are in arithmetic sequence. Is 100^o the smallest angle of the polygon? - Justify your answer.

The angles of a quadrilateral are in an arithmetic sequence. The largest angle is 150^@ . Find other angles.

The algebraic form of an arithmetic sequence is 5n+5 What is its first term?

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

The sum of first n terms of an arithmetic sequence is n^2+2n Prove that the sum of continuous terms starting from the first of the sequence 3,5,7,..... added to 1 gives a perfect square.

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

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.

The n^(th) term of an arithmetic sequence is a_n =5-6n.Find its sum of n terms?

If the angles of a triangle are in the ratio 3:4:5 , then the ratio of the largest side to the smallest side of the triangle is :

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.