Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If the nth term of the AP 9, 7, 5.. is same as the nth term of

Question

If the $n t h$ term of the AP $9, 7, 5..$ is same as the $n t h$ term of the AP $15, 12, 9, ...$ , find $n .$

7

8

9

10

Views: 659 students

Found 7 tutors discussing this question

Camila Discussed

If the

n t h

term of the AP

9, 7, 5..

is same as the

n t h

term of the AP

15, 12, 9, ...

, find

n .

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

n t h

term of A.P

9, 7, 5.... = a + (n - 1) d

\Rightarrow 9 + (n - 1) - 2

\Rightarrow 9 - 2 n + 2 \Rightarrow 11 - 2 n

n t h

term of A.P

15, 12, 9, .... = a + (n - 1) d

\Rightarrow 15 + (n - 1) - 3

\Rightarrow 15 - 3 n + 3 \Rightarrow 18 - 3 n

∴ 11 - 2 n = 18 - 3 n

\Rightarrow 3 n - 2 n = 18 - 11

\Rightarrow n = 7

Was this solution helpful?

150

Report

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 math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	If the $n t h$ term of the AP $9, 7, 5..$ is same as the $n t h$ term of the AP $15, 12, 9, ...$ , find $n .$
Answer Type	Text solution:1
Upvotes	150