Find the 34th term of the arithmetic sequence given a1 = 3.2 and d = 2.6
In an arithmetic sequence, the general form for the nth term is given by:
an = a1 + (n - 1)d
Where:
an is the nth term
a1 is the first term
d is the common difference
In this case, we are given a1 = 3.2 and d = 2.6, so we can substitute these values into the formula:
a34 = 3.2 + (34 - 1) * 2.6
= 3.2 + 33 * 2.6
= 3.2 + 85.8
= 89
Therefore, the 34th term of the arithmetic sequence is 89.
To find the 34th term of an arithmetic sequence, we can use the formula:
an = a1 + (n - 1) * d
where:
an is the nth term,
a1 is the first term,
d is the common difference, and
n is the term number.
In this case, we have:
a1 = 3.2 (the first term),
d = 2.6 (the common difference), and
n = 34 (the term number).
Substituting these values into the formula, we can find the 34th term:
a34 = 3.2 + (34 - 1) * 2.6
Simplifying the equation, we have:
a34 = 3.2 + 33 * 2.6
Now we can calculate:
a34 = 3.2 + 85.8
a34 = 89
Therefore, the 34th term of the arithmetic sequence with a first term of 3.2 and a common difference of 2.6 is 89.
To find the 34th term of an arithmetic sequence, you can use the formula:
an = a1 + (n - 1) * d
where:
an is the nth term
a1 is the first term
d is the common difference
n is the position of the term you want to find
Given that a1 = 3.2, d = 2.6, and n = 34, we can substitute these values into the formula to find the 34th term:
a34 = 3.2 + (34 - 1) * 2.6
Now, we can calculate it:
a34 = 3.2 + 33 * 2.6
a34 = 3.2 + 85.8
a34 = 89
Therefore, the 34th term of the arithmetic sequence with a1 = 3.2 and d = 2.6 is 89.