Advertisement Remove all ads

Find the 100th Term of the Sequence: Sqrt3, 2sqrt3, 3sqrt3...... - Mathematics

Sum

Find the 100th term of the sequence:

`sqrt3, 2sqrt3, 3sqrt3......`

Advertisement Remove all ads

Solution

The given A.P is `sqrt3, 2sqrt3, 3sqrt3`

Now 

`2sqrt3 - sqrt3 = sqrt3`

`3sqrt3 - 2sqrt3 = sqrt3` etc

hence the given sequence is an A.P with first term `a = sqrt3` and common difference `d= sqrt3`.

The general term of an A.P is given by

`t_n = a + (n - 1)d`

`=> t_100 = sqrt3 + (100 - 1)xx  sqrt3 = sqrt3 + 996sqrt3 = 100sqrt3`

So the 100th term is `100sqrt3`

Concept: Arithmetic Progression - Finding Their General Term
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 10 Arithmetic Progression
Exercise 10 (A) | Q 6 | Page 137
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×