Question

How do you find `a_43` given 5, 9, 13, 17,...?

Answer 1

See explanation.

Explanation:

From the given terms you see that the first term of the sequence is `a_1=5` and the common difference is `d=4`, so to calculate the fourty third term you can use the formula:

`a_n=a_1+(n-1)xxd`

If we substitute the given data we get:

`a_43=5+(43-1)xx4=5+42xx4=5+168=173`.

Answer: The 43rd term is `a_43=173`