Embibe Experts Solutions for Exercise 1: ICSE-2018

If $\left(k-3\right),\left(2k+1\right)$ and $\left(4k+3\right)$ are three consecutive terms of an A.P., find the value of $k$?

The $4^{\text{th}}$ term of an arithmetic progression is $22$ and ${15}^{\text{th}}$ term is $66$. Find the first term and the common difference. Hence, find the sum of the series to $8$ terms.

In an Arithmetic progression (A.P.), the fourth and sixth terms are $8$ and $14$ respectively. Find the first term.

In an Arithmetic Progression (A.P.) the fourth and sixth terms are $8$ and $14$ respectively. Find the common difference.

The first and last term of a Geometric Progression (GP) are $3$ and $96$, respectively. If the common ratio is $2$, then find sum of $n$ terms.

The sum of the first three terms of an Arithmetic Progression (A.P.) is $42$ and the product of the first and third term is $52$. Find the first term and the common difference.

The $4\mathrm{th}, 6\mathrm{th}$ and the last term of a geometric progression are $10, 40$ and $640$ respectively. If the common ratio is positive, find the first term, common ratio and the number of terms of the series.

If the $6^{th}$ term of an A.P. is equal to four times its first term and the sum of first six terms is $75$, find the first term and the common difference.