Question

For the sequence an = 2n + 1, identify the values of a0 = _____, a1 = _____, a2 = _____, and a3 = _____.

Answer 1

Answer:

Option A -  $a_0= 2,a_1= 3,a_2= 5,a_3= 9$

Step-by-step explanation:

Given : For the sequence $a_n= 2^n + 1$

To find : Identify the values of following?

Solution :

The nth term of the sequence is $a_n= 2^n + 1$

Substitute n=0,1,2 and 3

When n=0,

$a_0= 2^0+ 1$

$a_0= 1+1$

$a_0=2$

When n=1,

$a_1= 2^1+ 1$

$a_1= 2+1$

$a_1=3$

When n=2,

$a_2= 2^2+ 1$

$a_2=4+1$

$a_2=5$

When n=3,

$a_3= 2^3+ 1$

$a_3= 8+ 1$

$a_3= 9$

Therefore, The value is $a_0= 2,a_1= 3,a_2= 5,a_3= 9$

So, Option A is correct.