The following problem refers to an arithmetic sequence. If a_1=4 and d=1 Find a_n and a_35.
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To find a_n, we use the formula for the nth term of an arithmetic sequence:
a_n = a_1 + (n - 1) * d
Given: a_1 = 4 and d = 1
Let's find a_n:
a_n = 4 + (n - 1) * 1
= 4 + n - 1
= 3 + n
So, a_n = 3 + n.
Now let's find a_35:
a_35 = 3 + 35
= 38
Therefore, a_35 = 38.
To find the nth term (a_n) of an arithmetic sequence, we use the formula:
a_n = a_1 + (n - 1) * d
where a_1 is the first term, n is the position of the term, and d is the common difference.
In this case, we are given a_1 = 4 and d = 1.
To find a_35, we substitute these values into the formula:
a_35 = 4 + (35 - 1) * 1 = 4 + 34 = 38
Therefore, a_35 = 38.
To find a_n, we can use the formula again. However, the value of n is not specified. It could be any positive integer. If you have a specific value of n in mind, you can substitute it into the formula to find a_n.