Kerala Board Solutions for Chapter: Arithmetic Sequences, Exercise 6: Exercise 6

Write the first three terms of the arithmetic sequence described below:

First-term $30$; the sum of the first three terms is $300$.

Write the first three terms of the arithmetic sequence described below:

First-term $30$; the sum of the four terms is $300$.

Write the first three terms of the arithmetic sequence described below:

First-term $30$; the sum of the five terms is $300$.

Write the first three terms of the arithmetic sequence described below:

First-term $30$; the sum of the six terms is $300$.

The sum of the first five terms of an arithmetic sequence is $150$ and the sum of the first ten terms is $550$.

What is the third term of the sequence?

The sum of the first five terms of an arithmetic sequence is $150$ and the sum of the first ten terms is $550$.

What is the eighth term?

The sum of the first five terms of an arithmetic sequence is $150$ and the sum of the first ten terms is $550$.

What are the first three terms of the sequence?

The angles of a pentagon are in arithmetic sequence. Prove that its smallest angle is greater than $36°$.