Insert $4$ A.M.s between $4$ and $19$.

Important Questions on Arithmetic Progressions

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.6>Q 3

Insert $7 \mathrm{A}.\mathrm{M}.$s between $2$ and $17$.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.6>Q 4

Insert six A.M.s between $15$ and $-13$.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.6>Q 5

There are $\mathrm{n}$ A.M.s between $3$ and $17$. The ratio of the last mean to the first mean is $3:1$. Find the value of $\mathrm{n}$.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.6>Q 6

Insert  A.M.s between $7$ and $71$in such a way that the $5^{\mathrm{th}}$ A.M. is $27$. Find the number of A.M.s.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.6>Q 7

If $\mathrm{n}$ A.M.s are inserted between two numbers, prove that the sum of the means equidistant from the beginning and the end is constant.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.6>Q 8

If $\mathrm{x}, \mathrm{y}, \mathrm{z}$ are in A.P. and ${\mathrm{A}}_1$ is the A.M. of $\mathrm{x}$ and $\mathrm{y}$ and ${\mathrm{A}}_2$ is the A.M. of $\mathrm{y}$ and $\mathrm{z}$, then prove that the A.M. of ${\mathrm{A}}_1$ and ${\mathrm{A}}_2$ is $\mathrm{y}$.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.6>Q 9

Insert five numbers between $8$ and $26$ such that the resulting sequence is an $\mathrm{A}.\mathrm{P}.$.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 19 - Arithmetic Progressions>EXERCISE 19.7>Q 1

A man saved $\mathrm{₹}16500$ in ten years.In each year after the first he saved $\mathrm{₹}100$ more than he did in the receding year. How much did he save in the first year ?