Respuesta :
A function assigns the value of each element of one set to the other specific element of another set. The third, fourth, and fifth terms of the sequence are 5, 8, and 13 respectively
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Given the nth term of the sequence is given by the formula,
[tex]a_n = a_{(n-1)}+a_{(n-2)}[/tex]
Also, the first term and the second term of the sequence are 2 and 3 respectively, therefore, the other terms of the sequence are,
[tex]a_3 = a_{(3-1)}+a_{(3-2)}\\\\a_3 = a_2 + a_1\\\\a_3 = 3 + 2\\\\a_3 = 5[/tex]
[tex]a_4 = a_{(4-1)}+a_{(4-2)}\\\\a_4 = a_3 + a_2\\\\a_4 = 5 + 3\\\\a_4 = 8[/tex]
[tex]a_5 = a_{(5-1)}+a_{(5-2)}\\\\a_5 = a_4 + a_3\\\\a_5 = 8 + 5\\\\a_5 = 13[/tex]
Hence, the third, fourth, and fifth terms of the sequence are 5, 8, and 13 respectively.
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