A sequence is generated in which each term is equal to the sum of the two preceding terms, If the first two terms are 1 and 3, what is the sixt term?

a. 11
b. 14
c. 18
d. 22
e. 29

please answer and explain

assuming you just want confirmation of your efforts, (C): 18

To find the sixth term of the sequence, we need to continue adding the preceding two terms together. Let's start by finding the third term:

Third term = First term + Second term
Third term = 1 + 3
Third term = 4

Now, let's find the fourth term:

Fourth term = Second term + Third term
Fourth term = 3 + 4
Fourth term = 7

Next, let's find the fifth term:

Fifth term = Third term + Fourth term
Fifth term = 4 + 7
Fifth term = 11

Finally, let's find the sixth term:

Sixth term = Fourth term + Fifth term
Sixth term = 7 + 11
Sixth term = 18

Therefore, the sixth term of the sequence is 18.

The correct answer is c. 18.

To find the sixth term of the sequence, we can use the given information that each term is equal to the sum of the two preceding terms.

Let's write out the sequence to see how each term is generated:

Term 1 = 1
Term 2 = 3
Term 3 = Term 1 + Term 2 = 1 + 3 = 4
Term 4 = Term 2 + Term 3 = 3 + 4 = 7
Term 5 = Term 3 + Term 4 = 4 + 7 = 11
Term 6 = Term 4 + Term 5 = 7 + 11 = 18

Therefore, the sixth term of the sequence is 18.

So, the correct answer is:
c. 18