R. D. Sharma Solutions for Chapter: Arithmetic Progression, Exercise 5: EXERCISE 5.5

Three numbers are in $A.P$. If the sum of these numbers be $27$ and the product $648$, find the numbers.

Find the four numbers in $A.P$, whose sum is $50$ and in which the greatest number is $4$ times the least.

The sum of three numbers in $A.P.$ is $12$ and the sum of their cubes is $288$. Find the numbers.

Divide $56$ in four parts in $A.P$. such that the ratio of the product of their extremes to the product of their means is $5:6$.

The angles of a quadrilateral are in $A.P$. whose common difference is $10°$. Find the angles.

Split $207$ into three parts such that these are in $A.P.$ and the product of the two smaller parts is $4623$.

The angles of a triangle are in$A.P$. The greatest angle is twice the least. Find all the angles.

The sum of four consecutive numbers in A.P. is $32$ and the ratio of the product of the first and last terms to the product of two middle terms is $7:15$. Find the number.