Download App

Arithmetic Progressions — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsArithmetic Progressions5 Marks
Question
The$ n^{th}$ term of an AP is (3n + 5). Find its common difference.
✓

Answer

We have:
$T_n= (3n + 5)$
Common difference $= T_2 - T_1$
$T_1= 3 \times 1 + 5 = 8$
$T_2 = 3 \times 2 + 5 = 11$
$d = 11 - 8 = 3$
Hence, the common difference is 3.

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 "5 Marks Questions" from Arithmetic Progressions→Arithmetic Progressions — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

Find the area of a rhombus each side of the which measures 20cm and one of whose diagonals is 24cm.
→
Solve the following systems of equations graphically:
2x + 3y + 5 = 0
3x - 2y - 12 = 0
→
Name the quadrilateral formed, if any, by the following points, and given reason for your answers:
A(-3, 5), B(3, 1), C(0, 3), D(-1, -4).
→
Find the zeros of the following quadratic polynomial and verify the relationship between the zeros and their coefficients:
$\text{f(x)}=\text{x}^2-\big(\sqrt{3}+1\big)\text{x}+\sqrt{3}$
→
Find the value of p, if the mean of the following distribution is 20.
x 15 17 17 20 + p 23
f 2 3 4 5p 6
→
The length of a rectangle is twice its breadth and its area is 288cm$^2$. Find the dimensions of the rectangle.
→
Prove the following trigonometric identities.
$\frac{\cos\theta}{1-\sin\theta}=\frac{1+\sin\theta}{\cos\theta}$
→
Some students planned a picnic. The budget for food was Rs. 500. But, 5 of them failed to go and thus the cost of food for each member increased by Rs. 5. How many students attended the picnic?
→
The base of a right-angled triangle measures 48cm and its hypotenuse measures 50cm. Find the area of the triangle.
→
The height of a cone is 20cm. A small cone is cut off from the top by a plane parallel to the base. If its volume be $\frac{1}{125}$ of the volume of the original cone, determine at what height above the base the section is made.
→