Home
Class 12
MATHS
Find the first five terms of the sequenc...

Find the first five terms of the sequence whose general term is given by
`a_(n) = 1 + (1)/(2) + (1)/(3) + …+ (1)/(n-1) + (1)/(n)`

Text Solution

AI Generated Solution

To find the first five terms of the sequence defined by the general term \( a_n = 1 + \frac{1}{2} + \frac{1}{3} + \ldots + \frac{1}{n} \), we will calculate the values of \( a_1, a_2, a_3, a_4, \) and \( a_5 \) step by step. ### Step 1: Calculate \( a_1 \) Using the definition of the sequence: \[ a_1 = 1 \] ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|87 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A) One option is correct|60 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • SETS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-I(Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

Write the first four terms of the sequence whose nth term is given (2n+1)/(2n-1)

Write the first five terms of the sequence whose n^(t h) terms are : a_n=n/(n+1)

Write the first four terms of the sequence whose nth term is given (n^(2)+1)/(n)

Write the first five terms of the sequence whose n^(t h) terms are : a_n=n(n+2)

Write the first five terms of the sequence whose n^(t h) terms are : a_n=2^n

Write the first five terms of the sequence whose n^(t h) terms are : a_n=(2n-3)/6

Write the first five terms of each of the sequences whose nth terms are : a_(n)=2^(n)

Write the first four terms of the sequence whose nth term is given (-1)^(n) sin"" (npi)/(2)

Find the sum to n terms of the series, whose n^(t h) terms is given by : (2n-1)^2

Write the first four terms of the sequence whose nth term is given (-1)^(n-1) cos "" (npi)/(4)