Sample QuestionsGeometric progression questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
For a $G. P.$, if $r=1$ and $S _5=625$, find the first term.
Answer: B.
View full solution →Find the sum of the first five terms of a $G$ $P .4,2,1, \ldots$
- A
$\frac{1}{4}$
- ✓
$\frac{31}{4}$
- C
$4$
- D
$\frac{31}{2}$
Answer: B.
View full solution →Find the $n$th term of a $G. P.$ $a b, a b^2, a b^3 \ldots$
Answer: C.
View full solution →For a $G. P$., $a=r=5$. Find the value of $T _5$.
Answer: B.
View full solution →If $x, 4.5,13.5$ are in $G$$. P.$, find the value of $x$.
Answer: D.
View full solution →If $S_R=35$ and $S_7=30$ for a $G. P.$, find the eighth term.
View full solution →For a $G. P.$ with $a=\frac{1}{3}$ and $r=1$, find the sum of its first $15$ terms.
View full solution →If $S_n=3\left(2^n-1\right)$, find $S_8$.
View full solution →Find the fifth term of $\frac{a}{r^3}, \frac{a}{r}, a r, \ldots$
View full solution →If $T_n=20^n$ for a geometric progression, find $S _2$.
View full solution →How many terms of a geometric progression $1,,9, \ldots$ add to 109 ?
View full solution →If the common ratio of a geometric progression is , find the ratio of its 8 th and th terms
The first term and the common ratio of a G P are and $-$ respectively If its $n$th term is $-97$, find the value of $n$
View full solution → Find the sixth term of a G P $65,-15,5, \ldots$
View full solution →If the numbers $, G , 00$ are in $G$ P, find the value of $G$ and its common ratio
View full solution →A person donates $₹ 300$ in January, the first month of a year. In every month thereafter, he donates twice the amount of the previous month. What would be the total amount of his donation at the end of the year?
View full solution →If the sum of any two consecutive terms of a $G. P.$ is zero, find the fifth term.
View full solution →If three positive numbers $k+2, k+7, k+17$ are in $G. P.$, find the value of $k$.
View full solution →$12$. If $25,(x-6),(x-12)$ are in $G. P.$, find the value of $x$.
View full solution →If $15, x, 60, y$ are in $G. P$., find the values of $x$ and $y$.
View full solution →Rajvi saves $₹ 50$ in the first week. Every week thereafter, she saves $1.5$ times the amount of the previous week. If her total saving is of $n$ weeks, ₹ $406.25$ find $n$.
View full solution →A refrigerator is sold by a manufacturing company to a wholesaler, wholesaler to a retailor, retailor to a customer. At every stage, the price is increased by $10 \%$. If a customer pays $₹ 26,620$ as the price of a refrigerator, what is the cost price of the refrigerator for the company?
View full solution → Kush bought a motorcycle for $₹ 70,000$. If its cost reduces by $15 \%$ every year, what will be the value of the motorcycle at the end of the fourth year ?
View full solution →The sum and the product of three consecutive terms of a $G. P.$ are $10.5$ and $8$ respectively. Find the three terms of the $G. P.$
View full solution →The sum and the product of three consecutive terms of a geometric progression are $21$ and $-125$ respectively. Find the three terms of the $G. P.$
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