MCQ
The next term of the $\text{AP}\sqrt{7},\sqrt{28},\sqrt{63},\ ...$ is :
- A$\sqrt{70}$
- B$\sqrt{84}$
- C$\sqrt{98}$
- ✓$\sqrt{112}$
✓
Answer
Correct option: D.
$\sqrt{112}$
The $AP$ is given to be $\sqrt{7},\sqrt{28},\sqrt{63}.$
Let $d$ be the common difference.
$\text{d}=\sqrt{28}-\sqrt{7}=2\sqrt{7}-\sqrt{7}=\sqrt{7}$
So, the next term $= \sqrt{63}+\sqrt{7}$
$=3\sqrt{7}+\sqrt{7}$
$=4\sqrt{7}$
$=\sqrt{112}$
Let $d$ be the common difference.
$\text{d}=\sqrt{28}-\sqrt{7}=2\sqrt{7}-\sqrt{7}=\sqrt{7}$
So, the next term $= \sqrt{63}+\sqrt{7}$
$=3\sqrt{7}+\sqrt{7}$
$=4\sqrt{7}$
$=\sqrt{112}$
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
If $n=2^3 \times 3^4 \times 5^4 \times 7$, then the number of consecutive zeros in $n$, where $n$ is a natural number, is
→Choose the correct answer from the given four options. A pole $6m$ high casts a shadow $2\sqrt{3}\text{m}$ long on the ground, then the Sun’s elevation is :
→If the point $P(2, 1)$ lies on the line segment joining points $A(4, 2)$ and $B(8, 4)$, then:
→Choose the correct answer from the given four options in the following questions:
If one of the zeroes of a quadratic polynomial of the form $x^2+ax + b$ is the negative of the other, then it:
→If one of the zeroes of a quadratic polynomial of the form $x^2+ax + b$ is the negative of the other, then it:
If $\alpha$ and $\beta$ are the zeros of the polynomial $f(x) = x^2+ px + q,$ then a polynomial having $\frac{1}{\alpha}$ and $\frac{1}{\beta}$ and is its zero is :
→If \cot $\theta=\frac{15}{8}$, then evaluate $\frac{(2+2 \sin \theta)(1-\sin \theta)}{(1+\cos \theta)(2-2 \cos \theta)}$.
→In the given figure, PQ and PR are tangents to a circle centred at O. If $\angle Q P R=35^{\circ}$ then $\angle Q O R$ is equal to
→The quadratic equation whose roots are $7 + \sqrt{3}$ and $7 - \sqrt{3}$ is :
→The coordinates of the point which is equidistant from the three vertices of a $\triangle \text{AOB}$ as shown in the figure is :
→The measure of the angle between the lines $x=2, y=-3$ and the coordinates of the point of intersection of these lines are respectively
→