Find: 18th term of the A.P. 2, 32, 52, ... - Vidyadip

Question

Find: 18th term of the A.P. $\sqrt{2},\ 3\sqrt{2},\ 5\sqrt{2},\ ...$

✓

Answer

To find 18th term of A.P. $\sqrt{2},3\sqrt{2},5\sqrt{2},\ ...$
Here, 1st term $\text{a}_1=\sqrt{2}$
and d = cpmmon difference $=2\sqrt{2}$
$\therefore\text{a}_\text{n}=\text{a}_1+(\text{n}-1)\text{d}$
$\text{a}_{18}=\sqrt{2}+2\sqrt{2}(17)=35\sqrt{2}$

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.(2 Marks)" from Arithmetic Progressions→Arithmetic Progressions — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Let $f$ be a subset of $Z \times Z$ defined by $f=\{(a b, a+b): a, b \in Z\}$. Is $f$ a function from $Z$ to $Z$ ? Justify?

If $A=\left[\begin{array}{cc}2 & -3 \\ 3 & -2 \\ -1 & 4\end{array}\right], B=\left[\begin{array}{ccc}-3 & 4 & 1 \\ 2 & -1 & -3\end{array}\right]$, verify

$\left(3 A-5 B^{\top}\right)^{\top}=3 A^{\top}-5 B$

If the area of triangle with vertices $\mathrm{P}(-3,0), \mathrm{Q}(3,0)$ and $\mathrm{R}(0, \mathrm{~K})$ is 9 square unit then find the value of $k$.

Show that if $f : A \rightarrow B$ and $g : B \rightarrow C$ are onto, then gof is also onto.

Find the equation of a circle with The equation of a circle with centre at $(h, k)$ and radius $‘r’$ is given by

If $\mathrm{A}(4,1)$ and $\mathrm{B}(5,4)$, find the equation of the locus of point $\mathrm{P}$ such that $\mathrm{PA}^2=3 \mathrm{~PB}^2$.

Given that P(3, 2, -4), Q(5, 4, -6) and R(9, 8, -10) are collinear. Find the ratio in which Q divides PR.

Find the number of permutations of n distinct things taken r together, in which 3 particular things must occur together.

Find the nth term of the sequence 0.6, 0.66, 0.666, 0.6666,…

Find:
The ninth term of the G.P. $1, 4, 16, 64, ...$