Find the 35th term if the first term is 8 and common difference is 1.5?
- The 35th term is 59
To find the 35th term of an arithmetic sequence, we need to use the formula:
an = a1 + (n-1)d
where:
an = the nth term of the sequence
a1 = the first term of the sequence
d = the common difference between consecutive terms
n = the number of the term we want to find
In this case, we are given that the first term, a1, is 8 and the common difference, d, is 1.5. We want to find the 35th term, so we substitute these values into the formula and solve for an:
a35 = 8 + (35-1)1.5
a35 = 8 + 51
a35 = 59
Therefore, the 35th term of the arithmetic sequence with first term 8 and common difference 1.5 is 59.
To summarize, the solution is as follows:
We are given a first term of 8 and a common difference of 1.5.
We use the formula an = a1 + (n-1)d to find the 35th term.
Substituting the given values, we get a35 = 8 + (35-1)1.5.
Simplifying, we get a35 = 8 + 51 = 59.
Therefore, the answer is option D, 59.
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