Question
Write the first five terms of the following sequences whose $n^{th}$ terms are:
$a_n = 3^n.$
$a_n = 3^n.$
✓
Answer
$a_n = 3^n$
Given sequence $a_n = 3^n$
To write first five terms of given sequence, put $n = 1, 2, 3, 4, 5$ in given sequence.
Then,
$a_1 = 3^1 = 3;$
$a_2 = 3^2 = 9;$
$a_3 = 3^3 = 27;$
$a_4 = 3^4 = 81;$
$a_5 = 3^5 = 243.$
Given sequence $a_n = 3^n$
To write first five terms of given sequence, put $n = 1, 2, 3, 4, 5$ in given sequence.
Then,
$a_1 = 3^1 = 3;$
$a_2 = 3^2 = 9;$
$a_3 = 3^3 = 27;$
$a_4 = 3^4 = 81;$
$a_5 = 3^5 = 243.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the sum:
$3 + 11 + 19 + ..... + 803.$
→$3 + 11 + 19 + ..... + 803.$
Find the value of a so that the point $(3, a)$ lies on the line represented by $2 x-3 y+5=0$
→Find the length of the arc of a circle of diameter 42cm which subtends an angle of 60° at the centre.
Show that $\tan ^4 \theta+\tan ^2 \theta=\sec ^4 \theta-\sec ^2 \theta$
→Show that the progressions given below is an AP. Find the first term, common difference and next term.
11, 6, 1, -4, ....
11, 6, 1, -4, ....
In the figure, altitudes $AD$ and CE of $\triangle$ABC intersect each other at the point P. Show that: $\vartriangle ABD \sim \vartriangle CBE$
→The LCM and HCF of two numbers are 180 and 6 respectively. If one of the numbers is 30, find the other number.
In Figure, two concentric circles with centre $O$, have radii $21 \ cm$ and $42 \ cm .$ If $\angle AOB=60^{\circ},$ find the area of the shaded region.
→Without actually performing the long division, state whether state whether the following rational numbers will have a terminating decimal expansion or a non terminating repeating decimal expansion.
$\frac{35}{50}$
→$\frac{35}{50}$
Find:$10^{th}$ term of the $A.P. -40, -15, 10, 35, .....$
→