Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The common term of the series <img alt="\mathrm{ S_{1}=3+7+11+15+1

The 8^{\text {th }} common term of the series

\mathrm{ S_{1}=3+7+11+15+19+\cdots }
\mathrm{ S_{2}=1+6+11+16+21+\cdots. }
is _________.

Option: 1

151


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

8^{\text {th }} common term of the series

\mathrm{S}_{1}=3+7+11+15+19+\ldots \ldots
\mathrm{S}_{2}=1+6+11+16+21+\ldots \ldots

First common term = 11
common diff of the AP of common terms
\mathrm{= L.C.M \, of\, \{4,5\}}
\mathrm{=20}

\therefore \mathrm{AP}
11,31,51, \quad \ldots \ldots
\mathrm{T}_{8}=11+(8-1) 20
=11+140
\mathrm{T}_{8}=151

 

Posted by

Ritika Kankaria

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: NIT Tiruchirappalli, Surathkal, Warangal retain highest BTech cut-offs among NITs
anam-khan

JEE Main 2026: IIT Bombay Aerospace Engineering closing ranks fall steadily; course-wise seat matrix
anam-khan

JEE Main Admit Card 2026 LIVE: Exam hall ticket for BTech admission today? Marking scheme, test timings

Latest Question