for the arthmectic sequence 5, 7, 9, ...... find A

Answer 1

The common difference between each term in the arithmetic sequence is 2 (7-5=2, 9-7=2, and so on).

To find the general formula for the nth term in the arithmetic sequence, we use the formula:
a_n = a_1 + (n-1)d

Where:
- a_n = the nth term
- a_1 = the first term in the sequence
- n = the term number
- d = the common difference

Given that a_1 = 5 and d = 2, we can substitute these values into the formula:

a_n = 5 + (n-1)2
a_n = 5 + 2n - 2
a_n = 3 + 2n

So, the general formula for the nth term in the arithmetic sequence is a_n = 3 + 2n.