Answer:
61st term = 547
Explanation:
The formula for the nth term of an arithmetic sequence is
, where a1 is the first term, n is the term position (e.g., 1st or 61st) and d is the common difference.
We already know that a1 = 7 and the n = 61. We can find the common difference by finding the difference of any two consecutive terms with the smaller term being subtracting from the larger:
Thus, if we use 7 and 16, our common difference (d) is:
d = 16 - 7 = 9
Now, we can simply plug in everything to the formula to find the 61st term:
