Question

pls answer this question
an = (-5)n​

Answer 1

Answer:

a=-5

Step-by-step explanation:

an = (-5)n (given in question)

by dividing n both side

a=-5

thanks

hope it helps you

Answer 2

Answer:

1

Step-by-step explanation:

It converges and tends to zero. In fact, even its sum converges, to e^(-5), and the sum of the absolute values of its terms, 1+5/1!+5²/2!+5³/3!+… converges, to e^5.

Quick proof that the sequence converges to 0: the ratio of two successive terms is -5/n, which, for n>10, is less than ½ in absolute value. So the absolute value of every term, from the 11th on, is smaller than half that of the previous one. Clearly such a sequence must tend to 0 and even have a finite sum, since 1/2 + 1/4 + 1/8 +… =1.