Question:
Insert four arithmetic means between 4 and 29
Solution:
To find: Four arithmetic means between 4 and 29
Formula used: (i) $d=\frac{b-a}{n+1}$, where, $d$ is the common difference
n is the number of arithmetic means
(ii) $A_{n}=a+n d$
We have 4 and 29
Using Formula, $d=\frac{b-a}{n+1}$
$d=\frac{29-4}{4+1}$
$d=\frac{25}{5}$
$d=5$
Using Formula, $A_{n}=a+n d$
First arithmetic mean, $A_{1}=a+d$
= 4 + 5
= 9
Second arithmetic mean, $A_{2}=a+2 d$
$=4+2(5)$
$=4+10$
$=14$
Third arithmetic mean, $\mathrm{A}_{3}=\mathrm{a}+3 \mathrm{~d}$
$=4+3(5)$
$=4+15$
= 19
Fourth arithmetic mean, $\mathrm{A}_{4}=\mathrm{a}+4 \mathrm{~d}$
$=4+4(5)$
$=4+20$
$=24$
Ans) The four arithmetic means between 4 and 29 are 9, 14, 19 and 24
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,
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