Telangana Board Solutions for Chapter: Progressions, Exercise 2: Exercise

Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_n$ the $n\mathrm{th}$ term of the $\mathrm{AP}$:

Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_n$ the $n\mathrm{th}$ term of the $\mathrm{AP}$:

Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_n$ the $n\mathrm{th}$ term of the $\mathrm{AP}$:

Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_n$ the $n\mathrm{th}$ term of the $\mathrm{AP}$:

Which term of the $\mathrm{AP}: 3,8,13,18,\dots ,$ is $78?$

If the $3^{\mathrm{rd}}$ and the $9^{\mathrm{th}}$ terms of an $\mathrm{AP}$ are $4$ and $-8$ respectively, which term of this $\mathrm{AP}$ is zero?

Determine the $\mathrm{AP}$ whose third term is $16$ and the $7^{\mathrm{th}}$ term exceeds the $5^{\mathrm{th}}$ term by $12$.

The sum of the $4^{\mathrm{th}}$ and $8^{\mathrm{th}}$ terms of an $\mathrm{AP}$ is $24$ and the sum of the $6^{\mathrm{th}}$ and ${10}^{\mathrm{th}}$ terms is $44$. Find the first three terms of the $\mathrm{AP}$.