Assertion Reasoning - Worksheet 1

Transcript

Chapter 5 Class 10 - Arithmetic Progressions - Assertion and Reasoning Worksheet 1 by teachoo Chapter: Chapter 5 Class 10 Maths - Arithmetic Progressions Name: _____________________________ School: _____________________________ Roll Number: _____________________________ Instructions: For each question, two statements are given: Assertion (A) and Reason (R). Choose the correct option. (a) Both A and R are true, and R is the correct explanation of A. (b) Both A and R are true, but R is not the correct explanation of A. (c) A is true, but R is false. (d) A is false, but R is true. 1. Assertion (A): The list of numbers 5,5,5,5,… is an Arithmetic Progression. Reason (R): A sequence is an AP if its terms continuously increase or decrease. 2. Assertion (A): The total fare for a journey of 15 km , where the fare is ₹20 for the first km and ₹ 8 for every additional km, is ₹132. Reason (R): The fares for 1" " km,2" " km,3" " km,… form an AP with a=20 and d=8. 3. Assertion (A): The sum of the first ' n ' odd natural numbers is n^2. Reason (R): The sum of the first n terms of an AP is given by S_n=n/2[2a+(n-1)d]. 4. Assertion (A): If the 5 th term of an AP is 10 and the 10 th term is 5 , then the 15 th term is 0 . Reason (R): The nth term of an AP is given by a_n=a+(n-1)d. 5. Assertion (A): If the sum of ' n ' terms of a sequence is 3n^2+2n, then the sequence is an AP. Reason (R): The nth term of the sequence can be found by a_n=S_n-S_(n-1). If a_n is a linear expression in ' n ', the sequence is an AP. Important links Answer of this worksheet -https://www.teachoo.com/25624/5378/Assertion-Reasoning---Worksheet-1/category/Teachoo-Questions---Assertion-Reasoning/ Full Chapter with Explanation, Activity, Worksheets and more – https://www.teachoo.com/subjects/cbse-maths/class-10th/ch5-10th-arithmetic-progressions/ Science Class 10– https://www.teachoo.com/subjects/science/class-10/ Maths Class 10- https://www.teachoo.com/subjects/cbse-maths/class-10th/ For more worksheets, ad-free videos and Sample Papers – subscribe to Teachoo Black here - https://www.teachoo.com/black/   Answer Key to Assertion & Reasoning - Worksheet 1 1. (c), 2. (a), 3. (b), 4. (a), 5. (a)