Download App

Sequences and Series — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsSequences and Series1 Mark
Question
For the following G.P.s, find $S_n$. 3, 6, 12, 24, ……..
✓

Answer

$3,6,12,24, \ldots$

Here, $a=3, r=\frac{6}{3}=2>1$

$\begin{aligned} & S_n=\frac{a\left(r^n-1\right)}{r-1}, \text { for } r>1 \\ \therefore & S_n=\frac{3\left(2^n-1\right)}{2-1} \\ \therefore & S_n=3\left(2^n-1\right)\end{aligned}$

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 "Solve the following Question.(1 Marks)" from Sequences and Series→Sequences and Series — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Show that the set of letters needed to spell "CATARACT" and the set of letters needed to spell "TRACT" are equal?
→
Rewrite the following statements in the form "p if and only if q".
r: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
→
Evaluate the following limits: $\lim _{z \rightarrow-3}\left[\frac{\sqrt{Z+6}}{Z}\right]$
→
If $\cos\text{x = k}$ has exactly one solution in $[0,2\pi],$, then write the values(s) of k.
→
Find the degree measure corresponding to the following radian measures: $(\text{Use}\ \pi=\frac{22}{7})$
$11^c$
→
Draw the angles of the following measures and determine their quadrants : – 330°
→
Write down the all possible subset of the given set.
$\{\phi\}.$
→
If 20 points are marked on a circle, how many chords can be drawn?
→
If A = (-7, 3], B = [2, 6] and C = [4, 9], then find

A’ ∩ B

→
If $f(x)=3 x+a$ and $f(1)=7$, find $a$ and $f(4)$.
→