Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If the sixth term of an AP is zero then show that its 33rd ter

Question

If the sixth term of an AP is zero then show that its $33$ rd term is three times its $15$ th term.

Views: 765 students

Found 3 tutors discussing this question

Sofia Discussed

If the sixth term of an AP is zero then show that its

33

rd term is three times its

15

th term.

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

Sixth term of an AP is zero.

that is

a_{6} = 0

a + 5 d = 0

a = - 5 d

Now,

a_{15} = a + (n - 1) d

a + (15 - 1) d = - 5 d + 14 d = 9 d

and

a_{33} = a + (n - 1) d = a + (33 - 1) d = - 5 d + 32 d = 27 d

Now,

a_{33} : a_{15}

27 d : 9 d

3 : 1

Which shows that

a_{33} = 3 (a_{15})

Hence proved.

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 sixth term of an AP is zero then show that its $33$ rd term is three times its $15$ th term.
Answer Type	Text solution:1
Upvotes	150