Identify the rule (or formula) that generates the nth term of a geometric sequence from the choices below. a(n) is the nth term of the geometric sequence, a represents the first term, r is the common ratio, and n is the term number.

a) a(n)=a⋅r(n−1)

b) a(n)=a−r(n−1)

c) a(n)=a+r(n−1)

d) a(n)=a⋅r(a−1)

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)