The first term of an arithmetic sequence is
−2
, and the common difference is
−3
.
What is the 18th term of the sequence?
To find the 18th term of an arithmetic sequence, we can use the formula:
term = first term + (n-1)*common difference
In this case, the first term is -2 and the common difference is -3. Plugging these values into the formula:
18th term = -2 + (18-1)(-3)
Simplifying:
18th term = -2 + 17*(-3)
18th term = -2 + (-51)
18th term = -53
So, the 18th term of the sequence is -53.
To find the 18th term of an arithmetic sequence, you can use the formula:
\[ a_n = a_1 + (n-1) \cdot d \]
where:
- \( a_n \) is the nth term of the sequence
- \( a_1 \) is the first term of the sequence
- \( n \) is the number of terms
- \( d \) is the common difference between consecutive terms
In this case, the first term \( a_1 \) is -2 and the common difference \( d \) is -3. We need to find the 18th term, so \( n = 18 \).
Substituting these values into the formula:
\[ a_{18} = -2 + (18 - 1) \cdot (-3) \]
Simplifying:
\[ a_{18} = -2 + 17 \cdot (-3) \]
\[ a_{18} = -2 - 51 \]
\[ a_{18} = -53 \]
Therefore, the 18th term of the sequence is -53.
To find the 18th term of an arithmetic sequence, we can use the formula:
nth term = first term + (n - 1) * common difference
Given that the first term is -2 and the common difference is -3, we can substitute these values into the formula:
18th term = -2 + (18 - 1) * -3
Simplifying the expression:
18th term = -2 + 17 * -3
18th term = -2 - 51
18th term = -53
Therefore, the 18th term of the sequence is -53.