Question

The first four terms of a sequence are given.

7, 11, 15, 19, ...
What is the 40th term of the sequence?

Answer 1

an=4n+3
4*40+3=163
Each sentence has 4 different values, so we write 4n and try to make the first sentence with numbers, so we add 3

Answer 2

To find the 40th term of the sequence, we first need to identify the pattern that generates the terms. We can see that each term is obtained by adding 4 to the previous term. So the sequence is an arithmetic sequence with a common difference of 4.

Using this information, we can find the formula for the nth term of the sequence using the formula for the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

Where an is the nth term of the sequence, a1 is the first term, n is the term number, and d is a common difference.

In this case, we have a1 = 7 and d = 4. Substituting these values into the formula, we get:

an = 7 + (n - 1)4

Simplifying this expression, we get:

an = 4n + 3

Now we can use this formula to find the 40th term of the sequence:

a40 = 4(40) + 3

a40 = 160 + 3

a40 = 163

Therefore, the 40th term of the sequence is 163.