Home
Class 11
MATHS
Write the first five terms of the follow...

Write the first five terms of the following sequence amd obtain the corresponding series.
`a_(1)=a_(2)=2,a_(n)=a_(n-1)-1,ngt2`

Text Solution

Verified by Experts

The correct Answer is:
N/a
`a_(1)=2,a_(2)=2, a_(n)=a_(n-1)-1,ngt2`
`"At n = 3, "a_(3)=a_(2)-1=2-1=1,`
`"At n = 4, "a_(4)=a_(3)-1=1-1=0,`
`"At n = 5, "a_(5)=a_(4)-1=0-1=-1,`
Therefore, first 5 terms of given sequence are 2, 2, 1, 0, -1.
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9.2|18 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9.3|32 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9M|10 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|12 Videos

  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISC Exercise|16 Videos

Similar Questions

Explore conceptually related problems

Write the first five terms of the following sequence and obtain the corresponding series. a_1=a_2 =2,a_n=a_(n-1)-1,n >2

Write the first five terms of the following sequences and obtain the corresponding series (i) a_(1) = 7 , a_(n) = 2a_(n-1) + 3 "for n" gt 1 (ii) a_(1) = 2, a_(n) = (a_(n-1))/(n+1) "for n" ge 2

Write the first five terms of the sequence and obtain the corresponding series : a_1=a_2=2,a_n=a_(n-1)-1,n >2 .

Write the first five terms of the sequence and obtain the corresponding series : a_1=-1,a_n=(a_(n-1))/n ,ngeq2

Find the first five terms of the following sequences and write down the corresponding series (i) a_(n) = (1)/(5) (2n -3) (ii) a_(1) =a_(2) = 1 , a_(n) = a_(n-1) + a_(n-2) , n gt 2

Find the first three terms of the following sequences and write down the corresponding series : (i) a_(n) = 5n + 2 (ii) a_(1) = 1, a_(n) = a_(n - 1) + 5 for n ge 2

Write the first five terms in each of the following sequence: a_1=1,\ a_n=a_(n-1)+2,\ n >1

Write the first five terms in each of the following sequence: a_1=1=\ a_2,\ a_n=a_(n-1)+a_(n-2),\ n >2

Write the first five terms in each of the following sequence: a_1=a_2=2,\ a_n=a_(n-1)-1,\ n >1 .

Write the first five terms of each of the sequences in Questions 1 to 6 whose nth terms are : a_(n)=n(n+2)