Question

The sequence -2, 1, 4, 7, 10,... is generated recursively by the equations a1 = -2 an = ________________

Answer 1

$\boxed { \boxed { a_n = a_1 + d(n - 1)}}$

$\text{Given } a_1 = -2 , d = 3,$

$a_n = - 2 + 3(n - 1)$

$a_n = - 2 + 3n - 3$

$a_n = 3n - 5$

$\boxed{\boxed {\text {Answer : }a_n = 3n - 5 }}$