NTH TERM OF A SEQUENCE
Write the first three terms of the sequence in which the nth term is 5n - 4.
SOLUTION:
Using the given formula, we'll find the first three terms by substituting n by the nth term.
[tex]•[/tex] 1st term [tex]•[/tex]
[tex]5n - 4[/tex]
[tex]5(1) - 4[/tex]
[tex]5 - 4[/tex]
= 1 - first term
[tex]•[/tex] 2nd term [tex]•[/tex]
[tex]5n - 4[/tex]
[tex]5(2) - 4[/tex]
[tex]10 - 4[/tex]
= 6 - second term
[tex]•[/tex] 3rd term [tex]•[/tex]
[tex]5n - 4[/tex]
[tex]5(3) - 4[/tex]
[tex]15 - 4[/tex]
= 11 - third term
ANSWER:
The first three terms are 1, 6 and 11.
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