Question

The sequence given is defined using a recursion formula. Write the first four terms of the sequence. a 1 equals 3 and a Subscript n Baseline equals 2 a Subscript n minus 1 Baseline plus 5 for n greater than or equals 2

Answer 1

Answer:  3 , 6 , 12 , 24

Step-by-step explanation:

The given recursive formula :

$a_n=2a_{n-1}$ for n ≥ 2 and n be any natural number.

Also, First term is given as $a_1=3$

Then, for n= 2 , we have

$a_2=2a_{2-1}=2a_1=2(3)=6$

For n= 3 , we have

$a_3=2a_{3-1}=2a_2=2(6)=12$

For n= 4 , we have

$a_4=2a_{4-1}=2a_3=2(12)=24$

The first four terms of sequence = $a_1 ,\ a_2,\ a_3,\ a_4=3 ,\ 6 ,\ 12 ,\ 24$