Get 2 FREE Instant-Explanations on Filo with code FILOAPP

The first term of an A.P. is 5, the common difference is 3 and

Question

The first term of an $A . P .$ is $5$ , the common difference is $3$ and the last term is $80$ , find the number of terms.

Views: 736 students

Found 6 tutors discussing this question

Mila Discussed

The first term of an

A . P .

5

, the common difference is

3

and the last term is

80

, find the number of terms.

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Given :

a_{1} = 5, d = 3

, a_{n} = 80

∴ a_{n} = a_{1} + (n - 1) d

80 = 5 + (n - 1) \times 3

75 = (n - 1) \times 3

n - 1 = \frac{75}{3}

n - 1 = 25 + 1

n = 26

Hence, This is answer.

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	The first term of an $A . P .$ is $5$ , the common difference is $3$ and the last term is $80$ , find the number of terms.
Answer Type	Text solution:1
Upvotes	150