Find the first term of the sequence the quotient of the product of the quantity negative 1 raised to the n plus 1 power and 3 raised to the n plus 1 power and the quantity 5 times n plus 1...

Question

Find the first term of the sequence  , n = 0, 1, 2, ….

A
B
C	3
D	−3

Answer 1

Either A or D. But it must be D 1st term = -3.

Question is what is the first term? when n=0 or when n=1

Usually, they speak of the nth term, so that the 1st term would be when n=1

But that doesn't seem to work

as the fraction reduces to 3/2 when n=1

There's a question as to whether the denominator was copied correctly or did it intend to be 5(n+1)?

Either way you don't get any of the 4 choices. IF it's 5(n+1) the fraction reduces to 9/10

so whoever designed this problem intended to treat n=0 in constructing the 1st term

IF so, then -3 is correct, unless you treat the denominator as 5(n+1) then the fraction reduces to -3/5

Then A is correct

IF the problem has been copied correctly, D is correct. But if the denominator is really 5(n+1) then A is correct

Only thing for certain is B and C are not correct.