Join

JEE WhatsApp Group

Question 82

An arithmetic progression is written in the following way:

The sum of all the terms of the $$10^{th}$$ row is _____

Correct Answer: 1505

Solution

First term of row (n):
$$a_n=2+3\cdot\frac{(n-1)n}{2}$$

For (n=10):
$$a_{10}=137$$

Sum:
$$S_{10}$$= $$\frac{10}{2}$$($$2\cdot137+9\cdot3$$)

$$S_{10}=\frac{10}{2}(274+27)$$
$$S_{10}=1505$$

Get AI Help

Video Solution

video

Create a FREE account and get:

Free JEE Mains Previous Papers PDF
Take JEE Mains paper tests

maruti sir image

JEE Quant Questions | JEE Quantitative Ability

JEE DILR Questions | LRDI Questions For JEE

JEE Verbal Ability Questions | VARC Questions For JEE

Free JEE Topicwise Questions

JEE Rotational Motion JEE Units & Measurements JEE Atomic Structure JEE Gravitation JEE Periodic Table & Periodicity JEE Statistics JEE Inverse Trigonometric Functions JEE Magnetism & Magnetic Materials JEE Sequences & Series JEE Matrices JEE Alternating Currents JEE Carboxylic Acids JEE Permutations & Combinations JEE Work, Energy & Power JEE Electromagnetic Induction JEE Electronic Devices JEE d and f-Block Elements JEE Chemical Kinetics JEE Heat Transfer JEE Three Dimensional Geometry JEE Magnetic Effects of Current JEE Hydrocarbons - Aromatic JEE Electromagnetic Waves JEE Aldehydes & Ketones JEE Hydrocarbons - Alkanes JEE Applications of Derivatives JEE Equilibrium JEE Indefinite Integration JEE Chemical Thermodynamics JEE Electrochemistry JEE Probability JEE Biomolecules JEE Continuity & Differentiability JEE Kinetic Theory of Gases JEE Vector Algebra JEE Hydrocarbons - Alkynes JEE Differential Equations JEE Current & Resistance JEE Straight Lines JEE Waves JEE Redox Reactions JEE Hydrocarbons - Alkenes JEE Determinants JEE Solutions JEE Ray Optics JEE Dual Nature of Matter & Radiation JEE Chemical Bonding & Molecular Structure JEE Complex Numbers JEE Sets, Relations & Functions JEE Electric Charges & Fields JEE Laws of Motion JEE Fluid Mechanics JEE Basic Concepts in Chemistry JEE Trigonometric Functions JEE Limits JEE Laws of Thermodynamics JEE Kinematics - 2D Motion JEE p-Block Elements (Groups 13-18)JEE Simple Harmonic Motion JEE Electric Potential & Capacitance JEE Coordination Compounds JEE JEE 2D Geometry JEE Circles JEE Definite Integration JEE EMF & Circuit Analysis JEE Surface Tension JEE Atoms & Nuclei JEE Laboratory Experiments - XI JEE Number System JEE Basic Principles of Organic Chemistry JEE Wave Optics JEE Quadratic Equations JEE Alcohols, Phenols & Ethers JEE Organic Compounds with Halogens JEE Differentiation JEE Conic Sections JEE Nitrogen-Containing Compounds JEE Elasticity JEE Practical Organic Chemistry JEE Kinematics - 1D Motion JEE Purification & Characterisation JEE Binomial Theorem

Ask our AI anything

AI can make mistakes. Please verify important information.