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.
The common ratio of a $G.P.$ is $-1$ and its first term is $-1$. then find the sum of the first six terms of the $G.P$.
Answer: A.
View full solution →If $x, 10, -25$ are in $G.P.$, then find the value of $x$.
Answer: C.
View full solution →For a $G.P. 0.4, 0.04, 0.004, ....$ find the common ratio.
Answer: D.
View full solution →Find the common ratio of $GP$. Whose $n$th term is $3\left(2^{n-1}\right)$.
Answer: B.
View full solution →For a $G.P.$ $\frac{ 1 }{ 9 }, \frac{ 1 }{ 3 } \cdot 1 \ldots . .,$ find the seventh term.
- A
$6561$
- B
$243$
- ✓
$81$
- D
$\frac{1}{81}$
Answer: C.
View full solution →The first term and the fourth term of a $GP.$ are $5$ and $40$ respectively; find the common ratio of a $GP$.
View full solution →The common ratio and the fifth term of a $GP.$ are $3$ and $324$ respectively, find the first term of the $GP$.
View full solution →If the first term and the common ratio of a $GP.$ are $7$ and $2$ respectively, find its sixth term.
View full solution →State whether the statement " $\mathrm{T}_1=\mathrm{S}_1$ " is true or false in $G.P.$
View full solution →State whether the statement "if $a, b, c, d$ are in $G.P$., then $a d=b c$ " is true or false.
View full solution →If the second term of a $G.P$. is $4$ then find the product of the first three terms of the $G.P.$
View full solution →Find the 8th term of the G. P. $\frac{1}{8}, \frac{1}{4}, \frac{1}{2}, \ldots . .$
View full solution →Find the 5th term of a GP. 9, —6, 4, ....
The first term and the common ratio of a GP. are 4 and -2 respectively. If its nth term is -128, find the value of n.
If in a G. P., $S_{n}=\frac{4}{3}\left(3^{n}-1\right)$, find $T_{3}$.
View full solution →The first term and the product of the first three terms of a $G.P.$ are $3$ and $216$ respectively. Find the $7th$ term of the $G.P$.
View full solution →If for a $G.P.$, $\mathrm{T}_{n}=80, \mathrm{~S}_{n}=157.5$ and $r=2$, find $a$ and $n$.
View full solution →If $15, x, 240, y$ are in $GR$, find the values of $x$ and $y$.
View full solution →A person gives $Rs. 5$ to his son on $1\ st$ March, $Rs. 10$ on $2\ nd$ March, $Rs. 20$ on $3\ rd$ March and so on. Thus each day he gives double the amount than that of the previous day. Find the total amount he has given to his son upto $10\ th$ of March.
View full solution →The first term and the sum of the first five terms of the $GP.$ are equal to $1$ each. Find the common ratio of the $G. P$.
View full solution →If the fourth term and the seventh term are $\frac{3}{4}$ and $\frac{3}{32}$ respectively for a $G.P.,$ find its tenth term.
View full solution →The sum and the product of the three consecutive terms of a $GP$. are $9.5$ and $27$ respectively. Find the three terms of the $GP.$
View full solution →The sum and the product of the three consecutive terms of a $GP.$ are $26$ and $216$ respectively. Find the three terms of the $GP.$
View full solution →A person wants to donate ? $2,42,000$ in five months such that every month he donates one-third of the amount he donated in the previous month. Find the amount he donated in the first month.
View full solution →Find the minimum value of $n$ such that the sum of the first $n$ terms of a $G$. P. $1,3,3^{2}, 3^{3}, \ldots$ is greater than or equal to $3000 .$
View full solution →