Get 2 FREE Instant-Explanations on Filo with code FILOAPP

The first term of an arithmetic progression is 15 and the last

Question

The first term of an arithmetic progression is 15 and the last term is 85. If the sum of all terms is 750, what is the 6th term ?

A

30

B

40

C

45

D

55

Views: 891 students

Found 5 tutors discussing this question

Charlotte Discussed

The first term of an arithmetic progression is 15 and the last term is 85. If the sum of all terms is 750, what is the 6th term ?

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Here, sum of all terms

= 750

\frac{n}{2} (a + l) = 750

\frac{n}{2} (15 + 85) = 750

n = 15

Now,

a_{15} = 85

a + 14 d = 85

d = 5

Thus,

a_{6} = a + 5 d = 15 + 25 = 40

Was this solution helpful?

151

Share

Report

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

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Essay review

Get expert feedback on your essay

Schedule classes

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Doubt Icon

Doubt Icon

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	The first term of an arithmetic progression is 15 and the last term is 85. If the sum of all terms is 750, what is the 6th term ?
Answer Type	Text solution:1
Upvotes	151