Question

Need help with this problem

Answer 1

250

Explanation:

To find the 36th term of the given sequence, we can observe that each term is increasing by 7 from the previous term.

Starting with the first term (5), we can calculate the 36th term using the formula for an arithmetic sequence:

nth term = first term + (n - 1) * common difference

where,

first term = 5 (the first term in the sequence)

n = 36 (the term number we want to find)

common difference = 7 (since each term increases by 7)

Now, plug these values into the formula:

36th term = 5 + (36 - 1) * 7

36th term = 5 + 35 * 7

36th term = 5 + 245

36th term = 250

So, the 36th term of the sequence is 250.

Answer 2

Answer: 250

Explanation:

We are given a formula to help us solve.

1st term + common difference(desired term - 1)

We will substitute what we are given to solve for the 36th term. To find the common difference, we will select two terms that are next to each other and subtract the 1st from the 2nd. We will do this for several terms to find a pattern. In doing this, we find the common difference is 7.

12 - 5 = 7

19 - 12 = 7

26 - 19 = 7

1st term + common difference(desired term - 1)

(5) + (7)(36 - 1)

(5) + (7)(35)

(5) + 245

250