Find the arithmetic mean between $-3$ and $1$.

Important Questions on Sequences and Series

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 1

Insert two arithmetic means between $-2$ and $7$.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 1

Insert $3$ arithmetic means between $-5$ and $7$.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 2

If $S$ is the sum of $n$ arithmetic means between two given numbers $a$ and $b$ and $A$ is the single arithmetic mean between the given numbers, then find the value of $\frac{S}{A}$.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 3

If the fourth term of an $A.P.$ is $4$, then what is the sum of its $7$ terms?

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 4

If the ${10}^{th}$ and the ${11}^{th}$ terms of an $A.P.$ are $23$ and $27$ respectively, then write the sum of its first $20$ terms.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 5

Insert five numbers between $8$ and $6$ such that the resulting sequence is an $A.P.$

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 5

Insert $6$ arithmetic means between $3$ and $24$.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 10 - Sequences and Series>EXERCISE 10.4>Q 5

Insert $10$ $A.M\text{'}s$ between $-5$ and $17$ and prove that their sum is $10$ times the $A.M.$ between $-5$ and $17$.