1c:I[1254,["7330","static/chunks/d3ac728e-78c3d5d7a486ed3a.js","5159","static/chunks/5159-48592f0bf1a47f9d.js","8175","static/chunks/8175-f84d59b9bd013e10.js","8167","static/chunks/8167-b25693a0140130f2.js","664","static/chunks/664-bceb0f356f9312eb.js","3703","static/chunks/app/practice-question/%5Bslug%5D/page-d1408559b663b83f.js"],"PracticeQuestionCard"] 1b:T4db,{"@context":"https://schema.org","@type":"QAPage","name":"What is the sum of the first 11 terms of an arithmetic progression if…","url":"https://vidyalelo.com/practice-question/what-is-the-sum-of-the-first-11-terms-of-an-arithmetic-progression-if-the-3rd-term-is-1-and-the-8th-term-is-19-104445","keywords":"practice questions, MCQ, MCQs with answers, objective questions, competitive exam questions, Competitive Exams, Competitive Exams MCQ, Competitive Exams MCQs, Competitive Exams questions, Competitive Exams practice questions, Aptitude, Aptitude MCQ, Aptitude MCQs, Aptitude questions, Aptitude practice questions, Progressions","mainEntity":{"@type":"Question","name":"What is the sum of the first 11 terms of an arithmetic progression if…","text":"What is the sum of the first 11 terms of an arithmetic progression if the 3rd term is -1 and the 8th term is 19?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option B. 121. Answer & Solution Answer: Option B Solution: & T_3 = a + 2d = - 1.....\\, ( 1 ) & T_8 = a + 7d = 19\\,.....\\, ( 2 ) & on solving ( 1 )\\, and\\, ( 2 ) & d = 4\\,\\& \\,a = - 9 & S_n = n/2 [ 2a + ( n - 1 )d ] S_11 = 112 [ 2 ( - 9 ) + ( 11 - 1 ) ( 4 ) ] & S_11 = 112 [ ( - 18 ) + ( 40 ) ]…"}}}1d:T422,

Answer & Solution

Answer: Option B

Solution:

$$\eqalign{ & {T_3} = a + 2d = - 1.....\,\left( 1 \right) \cr &