Final answer:
The 10th term of the arithmetic sequence (50, 54, 58, 62,...) is calculated using the nth term formula for arithmetic sequences and is found to be 86.
Step-by-step explanation:
To find the 10th term in the arithmetic sequence given (50, 54, 58, 62,...), we identify the first term and the common difference and then use the formula for the nth term of an arithmetic sequence, which is:
Tn = a + (n-1)d
Where Tn is the nth term, a is the first term, n is the term number, and d is the common difference between the terms. In this sequence:
- a = 50
- d = 54 - 50 = 4
- n = 10
Applying the values to the formula:
T10 = 50 + (10-1)4T10 = 50 + 9 × 4T10 = 50 + 36T10 = 86
The 10th term of the given arithmetic sequence is 86.