Get 2 FREE Instant-Explanations on Filo with code FILOAPP

An A.P. has 23 terms, sum of the middle three terms is 144, th

Question

An A.P. has $23$ terms, sum of the middle three terms is $144$ , the sum of last three terms is $264$ . Find the $8^{t h}$ term

32

37

38

28

Views: 696 students

Found 7 tutors discussing this question

Isabella Discussed

An A.P. has

23

terms, sum of the middle three terms is

144

, the sum of last three terms is

264

. Find the

8^{t h}

term

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

Given that

t_{11} + t_{12} + t_{13} = 144 \Rightarrow 3 a + (36 - 3) d = 144

...... (i)

t_{21} + t_{22} + t_{23} = 264 \Rightarrow 3 a + (66 - 3) d = 264

......(ii)
By (ii) - (i),

d = 4

on putting in (1),

a = 4

t_{8} = a + 7 d = 4 + 7 \times 4 = 32

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

231 students are taking LIVE classes

Question Text	An A.P. has $23$ terms, sum of the middle three terms is $144$ , the sum of last three terms is $264$ . Find the $8^{t h}$ term
Answer Type	Text solution:1
Upvotes	150