Bernardo and ogechi were asked to find an explicit formula for the sequence 1\,,\,8\,,\,64\,,\,,8,64,, comma, 8, comma, 64, comma, 512, comma, point, point, point.

bernardo said the formula is h(n)=1\cdot8^{\large{n}}h(n)=1⋅8

n

h, left parenthesis, n, right parenthesis, equals, 1, dot, 8, start superscript, n, end superscript, and

ogechi said the formula is h(n)=8\cdot1^{\large{n}}h(n)=8⋅1

n

h, left parenthesis, n, right parenthesis, equals, 8, dot, 1, start superscript, n, end superscript.

which one of them is right?

will be the correct formula for the given sequence.

Step-by-step explanation:

The given sequence is 1, 8, 64, 512...........

The given sequence is a geometric sequence having a common ratio (r) of

r =

r =

Since explicit formula of a geometric sequence is given by

where = nth term of the sequence

a = first term of the sequence

r = common ratio of the successive term to the previous term

Now we plug values of a and r in the formula to get the explicit formula for the given sequence.

Therefore, if Bernardo is saying that the formula of the sequence is

h(n) = then he is correct.

step-by-step explanation:

this is not a question