For the sequence a n =a n−1 +a n−2 and a 1 =2,a 2 =3 its first term is its second term is its third term is its fourth

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For the sequence a n =a n−1 +a n−2 and a 1 =2,a 2 =3 its first term is its second term is its third term is its fourth

term is its fifth term is quence a n =a n−1 +a n−2 and a 1 =2,a 2 =3 its first term is its second term is its third term is its fourth term is its fifth term is

Mathematics

1 answer:

taurus [48] · Answer 1 · 2023-05-19T12:32:32+03:00

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

<h3>What is a Function?</h3>

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,

$a_n = a_{(n-1)}+a_{(n-2)}$

Also, the first term and the second term of the sequence are 2 and 3 respectively, therefore, the other terms of the sequence are,

$a_3 = a_{(3-1)}+a_{(3-2)}\\\\a_3 = a_2 + a_1\\\\a_3 = 3 + 2\\\\a_3 = 5$

$a_4 = a_{(4-1)}+a_{(4-2)}\\\\a_4 = a_3 + a_2\\\\a_4 = 5 + 3\\\\a_4 = 8$

$a_5 = a_{(5-1)}+a_{(5-2)}\\\\a_5 = a_4 + a_3\\\\a_5 = 8 + 5\\\\a_5 = 13$

Hence, the third, fourth, and fifth terms of the sequence are 5, 8, and 13 respectively.

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For the sequence a n ​ =a n−1 ​ +a n−2 ​ and a 1 ​ =2,a 2 ​ =3 its first term is its second term is its third term is its fourth

For the sequence a n =a n−1 +a n−2 and a 1 =2,a 2 =3 its first term is its second term is its third term is its fourth