Write an explicit formula that represents the sequence defined by the following recursive formula HELP IM TIMED

The explicit formula is a = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a = first term; a = a + d is a = a + (n - 1)d, where

∵ The recursive formula is a = -1 and a = a - 6

→ Compare it with the formula above

∴ a = -1 ⇒ 1st term

∴ d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a  = -1 + (n - 1)(-6)

∴ a = -1 + (-6)(n) - (-6)(1)

∴ a  = -1 + -6n - (-6)

∴ a = -1 - 6n + 6

→ Add the like term

∴ a = 5 - 6n

∴ The explicit formula is a = 5 - 6n

the correct answer is 5 6 and 7