Question

HELP !!!!

Answer 1

Answer: Choice C

{1, 1, 2, 3, 5}

===============================================

We have

$a_1 = 1\\a_2 = 1$

Showing the first two terms are 1,1.

The answer is between choices B and C because of this.

To get the nth term $a_n$, we add up the two previous terms before it $a_{n-1}$ and $a_{n-2}$

So to get the third term $a_3$, we'll add up the first two terms

$a_n = a_{n-2} + a_{n-1}\\\\a_3 = a_{3-2} + a_{3-1}\\\\a_3 = a_1 + a_2\\\\a_3 = 1 + 1\\\\a_3 = 2$

The third term is therefore 2.

The sequence so far is {1,1,2} which matches with the first three terms of choice C.

Then we can say:

$a_4 = a_2 + a_3\\\\a_4 = 1+2\\\\a_4 = 3$

Further confirming the answer. I'll let you check the next set of terms.

For more information, check out the Fibonacci numbers.