Question

What are the first four terms of the sequence modeled by the recursive formula an=an-1+5 when a1=-3?

A) –3, –8, –13, –18
B) –3, 2, 7, 12
C) –3, –15, –75, –375
D) –3, 1, 5, 9

Answer 1

Given sequence: $a_n=a_{n-1}+5$

$a_1= -3.$.

We need to find first four terms of the sequence.

We already given first term -3.

Let us find second term $a_2$.

Plugging n=2.

$a_2=a_{2-1}+5 = a_1+5= -3+5 = 2.$

Now taking n=3.

$a_3=a_{3-1}+5 = a_2+5= 2+5 = 7$.

Now, n=4.

$a_4=a_{4-1}+5 = a_3+5= 7+5 = 12$.

We got terms -3, 2, 7 and 12.

Therefore, correct option is B) –3, 2, 7, 12.

Answer 2

Answer:

b . _3,2,7,12

Step-by-step explanation: