Given the sequence, find the 25th term.
aₙ=a₁ +(n-1)d
{-1,3,7,11,...}
Answer Choices:
103
99
95
91
Other:
answer CORRECTLY
To find the 25th term of the sequence {-1, 3, 7, 11, ...}, we can use the formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n-1)d
where aₙ is the nth term, a₁ is the first term, n is the term number, and d is the common difference.
In this case, the first term is -1 and the common difference is 4 (since each term increases by 4). Plugging these values into the formula, we have:
aₙ = -1 + (25-1) * 4
= -1 + 24 * 4
= -1 + 96
= 95
Therefore, the 25th term of the sequence is 95.