Question

Find the 63rd term of the arithmetic sequence minus, 1, comma, 5, comma, 11, comma, point, point, .−1,5,11,...

Answer 1

The first term of the arithmetic sequence is $a_1 = -1$ and the common difference is $d = 5 - (-1) = 6$. We can find the $63^{\text{rd}}$ term $a_{63}$ using the formula: $$a_n = a_1 + (n-1)d$$ Plugging in $n = 63$, $a_1 = -1$, and $d = 6$, we get: $$a_{63} = -1 + (63-1) \cdot 6 = -1 + 62 \cdot 6 = -1 + 372 = \boxed{371}.$$