A sequence has an initial term a1=22 and a recursive formula an=an−1−10. What is the explicit formula for the sequence?

an=22+10(n−1)
an=22−10(n−1)
an=10−22(n−1)
an=10+22(n−1)

Find the balance at the end of 4 years if 1000 is deposited at the rate of

Identify the conclusion of the conditional statement. if you live in phoenix, then you live in arizona.

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .