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The nth term of a sequence is a(n)=2n+3....

The nth term of a sequence is `a_(n)=2n+3`. Find its first four terms.

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To find the first four terms of the sequence defined by the nth term formula \( a_n = 2n + 3 \), we will calculate the values for \( n = 1, 2, 3, \) and \( 4 \). ### Step-by-Step Solution: 1. **Find the first term \( a_1 \)**: \[ a_1 = 2(1) + 3 = 2 + 3 = 5 \] ...
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The nth term of a sequence is defined as follows. Find the first four terms: (i) T_(n)=3n+1 (ii) T_(n)=n^(2)+5

The nth term of a sequence in defined as follows. Find the first four terms : (i) a_(n)=3n+1 " " (ii) a_(n)=n^(2)+3 " " (iii) a_(n)=n(n+1) " " (iv) a_(n)=n+(1)/(n) " " (v) a_(n)=3^(n)

Knowledge Check

  • The nth term of a sequence is a_(n)=n^(2)+5 . Find its first three terms.

    A
    `5 , 9 ,12`
    B
    `6 , 8 ,16`
    C
    `5 , 7 ,12`
    D
    `6 , 9 ,14`

  • The nth term of a sequence is (3n-7) . Find its 20th term.

    A
    60
    B
    53
    C
    50
    D
    None of these

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    If the nth term of a sequence is an expressionof first degree in n,show that it is an A.P.

    If a_(n)=3n+4 is the nth term of an AP then find the first four terms

    The nth term of a sequence whose sum of n terms is 5n^(2)+2n ,is

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