Telangana Board Solutions for Chapter: Progressions, Exercise 6: Exercise

In which of the following situations, does the list of numbers involved is in the form of a GP?

Salary of Sharmila, when her salary is $₹ 5,00,000$ for the first year and expected to receive yearly increase of $10\%$.

In which of the following situations, does the list of numbers involved is in the form of a GP?

Number of bricks needed to make each step, if the staircase has total $30$ steps, provided that bottom step needs $100$ bricks and each successive step needs $2$ brick less than the previous step.

Write three terms of the GP when the first term $\text{'}a\text{'}$ and the common ratio $\text{'}r\text{'}$ are given?

$a=4; r=3$

Write three terms of the GP when the first term $\text{'}a\text{'}$ and the common ratio $\text{'}r\text{'}$ are given?

$a=\sqrt{5}; r=\frac{1}{5}$

Write three terms of the GP when the first term $\text{'}a\text{'}$ and the common ratio $\text{'}r\text{'}$ are given?

$a=81; r=\frac{-1}{3}$

Write three terms of the GP when the first term $\text{'}a\text{'}$ and the common ratio $\text{'}r\text{'}$ are given?

$a=\frac{1}{64}; r=2$

Which of the following are GP? If they are in GP. Write next three terms?

$0.4, 0.04, 0.004, .....$

Find $x$ so that $x, x+2, x+6$ are consecutive terms of a geometric progression.