Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Arithmetic progression

The largest term common to sequence 1, 11,21, 31, ... to 100

Question

Easy

Solving time: 2 mins

The largest term common to sequence $1, 11, 21, 31, ... t o 100$ terms and $31, 36, 41, 46, ... t o 100$ terms is

381

471

281

none of these

Views: 5,550 students

Updated on: Jun 15, 2023

Found 5 tutors discussing this question

Scarlett Discussed

The largest term common to sequence

1, 11, 21, 31, ... t o 100

terms and

31, 36, 41, 46, ... t o 100

terms is

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

Sequence 1 : 1,11,21,31,..

t_{n} = 1 + (n - 1) 10 = 10 n - 9

Sequence 2 : 31,36,41,46,...

T_{m} = 31 + (m - 1) 5 = 26 + 5 m

Common term

\Rightarrow t_{n} = T_{m} \Rightarrow 10 n - 9 = 26 + 5 m

\Rightarrow 10 n - 5 m = 35

\Rightarrow 2 n = m + 7

∴ \forall

odd

m, \exists

a natural number

n

Maximum

m

can take is 100 here.For

n

to satisfy ,

m

should be odd.

m = 99

\Rightarrow

Largest common term =

26 + 5 \times 99 = 521

∴

Ans. is option D.

Was this solution helpful?

135

Report

Filo tutor solutions (4)

Learn from their 1-to-1 discussion with Filo tutors.

2 mins

Uploaded on: 12/2/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

CHANDAN KUMAR

Total classes on Filo by this tutor - 12,448

Teaches : Mathematics

Connect instantly with this tutor

Connect now

Notes from this class (2 pages)

Download

Was this solution helpful?

Report

7 mins

Uploaded on: 1/29/2023

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Nikhil Gupta

Total classes on Filo by this tutor - 12,380

Teaches : Mathematics, Algebra, Calculus

Connect instantly with this tutor

Connect now

Notes from this class (1 pages)

Download

Was this solution helpful?

114

Report

3 mins

Uploaded on: 10/29/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Ranjit Sahani

Total classes on Filo by this tutor - 3,038

Teaches : Mathematics

Connect instantly with this tutor

Connect now

Notes from this class (2 pages)

Download

Was this solution helpful?

134

Report

See more 1-on-1 discussions (1)

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Mathematics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	The largest term common to sequence $1, 11, 21, 31, ... t o 100$ terms and $31, 36, 41, 46, ... t o 100$ terms is
Updated On	Jun 15, 2023
Topic	Sequences and Series
Subject	Mathematics
Class	Class 11
Answer Type	Text solution:1 Video solution: 4
Upvotes	523
Avg. Video Duration	5 min

The largest term common to sequence $1, 11, 21, 31, ... t o 100$ terms and $31, 36, 41, 46, ... t o 100$ terms is

Text solutionVerified

Filo tutor solutions (4)

Practice more questions from Sequences and Series

Practice questions on similar concepts asked by Filo students

The largest term common to sequence1,11,21,31,...to 100 terms and 31,36,41,46,...to 100 terms is

Text solutionVerified

Filo tutor solutions (4)

Practice more questions from Sequences and Series

Practice questions on similar concepts asked by Filo students

Related books for questions on Sequences and Series

The largest term common to sequence $1, 11, 21, 31, ... t o 100$ terms and $31, 36, 41, 46, ... t o 100$ terms is