What is n^ th term of a G.P.? - Vidyadip

MCQ

What is $n^{th}$ term of a $G.P.?$

A
$a_n=a+(n-1) d $
B
$a_n=a+(n) d $
✓
$a_n=a \times r^{n-1} $
D
$a_n=a \times r^n $

✓

Answer

Correct option: C.

$a_n=a \times r^{n-1} $

Since every term of $a_n\ G.P.$ is $r$ times the previous term.
i.e. $a_{n+1}= a_n* r = a_{n-1} * r^2= ….. = a_1* r^n$
or $a_n= a*r^{n-1}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Sequences and Series→Sequences and Series — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Choose the correct answer:
The converse of the statement.
$“$If $x > y,$ then $x + a > y + a”$ is.

$\lim\limits_{\text{x} \rightarrow0}\frac{\sin\text{x}}{\sqrt{\text{x}+1}-\sqrt{1-\text{x}}}$ is:

Choose the correct answer. Following are the marks obtained by $9$ students in a mathematics test: $50, 69, 20, 33, 53, 39, 40, 65, 59$ The mean deviation from the median is:

The general solution of the equation $(\sqrt 3 - 1)\sin \theta + (\sqrt 3 + 1)\cos \theta = 2$ is

The longest side of a triangle is $2$ times the shortest side and the third side is $4\ cm$ shorter than the longest side.If the perimeter of the triangle is at least $61\ cm,$ find the minimum length of the shortest side.

The values of $x$ and $y$ for which the numbers $3 + i{x^2}y$ and ${x^2} + y + 4i$ are conjugate complex can be

Suppose $\theta \in\left[0, \frac{\pi}{4}\right]$ is a solution of $4 \cos \theta-3 \sin \theta=1$ Then $\cos \theta$ is equal to :

The minimum value of the expression $|z|+|z-1|+|z-1-i|+|z-i|$, where $z$ is a complex number and $i=\sqrt{-1}$, is

One coin is tossed once. Find the probability of getting $A$ tail.

If $n(A) = 3$, $n(B) = 6$ and $A \subseteq B$. Then the number of elements in $A \cup B$ is equal to