Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa

If the sum and  product  of the first three terms in an A.P. are 33 and 1155  , respectively , then a value of its 11^{th}  term is :

  • Option 1)

    -35

  • Option 2)

    25

  • Option 3)

    -36

  • Option 4)

    -25

Answers (1)

best_answer

Let the terms be 

\\a-d,a,a+d\\\\\:then\:\:3a=33\\\\\:a=11\\\\\:(11-d)(11+d)d=1155\\\\\:(121-d^{2})a=1155\\\\\:121-d^{2}=105\\\\\\\:d^{2}=16\\\\\:d=\pm 14

\therefore term =7,11,15\:\:\:or\:\:\:15,11,7\\\\\:t_{11}=a+10d\\\\\:7+10\times4=47

or

\\t_{11}=15+10(-4)\\\\\:15+(-40)\\\\\:=-25

answer = 4


Option 1)

-35

Option 2)

25

Option 3)

-36

Option 4)

-25
Posted by

Aadil

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026 application correction begins on jeemain.nta.nic.in; edit details by December 2
anam-khan

JEE Mains 2026 LIVE: NTA to conduct session 1 from January 21 to 30; exam pattern, syllabus
anam-khan

JEE Main 2026 correction window opens tomorrow; NTA allows exam city change

Latest Question