Answer: fifth term = -1/16
Sixth term = 1/256
Step-by-step explanation:
The given sequence is a geometric progression. This is because the ratio of two consecutive terms is constant.
We will apply the formula for determining the nth term of a geometric progression series.
Tn = ar^n-1
Where
Tn = value of the nth term of the geometric series
a = The first term of the series.
r = common ratio(ratio of a term to a consecutive previous term)
n = number of terms in the series
From the in information given,
a = -16
r = 4/-16 = -1/4
The next 2 terms are the 5th and 6th terms.
T5 = -16 × -1/4^(5-1)
T5 = -16 × (-1/4)^4
T5 = -16 × 1/256 = -1/16
The 6th term would be the 5th term × the common ratio. It becomes
T6 = -1/16 ×-1/4 = 1/256
Answer:
hello there!!!
tan (theta) = y / x
Substituting values we have:
tan (theta) = (4/5) / (3/5)
Rewriting we have:
tan (theta) = 4/3
Clearing theta:
theta = Atan (4/3)
theta = 53.13 degrees
Step-by-step explanation:
Answer:
A is $490 and B is 3990
Step-by-step explanation:
The way I solved this is with my last brain cells, you welcome.
Solving we get
Step-by-step explanation:
We need to solve:
It can be solved using the exponent rule. If bases are same, then the exponents are added. i.e
Applying exponent rule:
Another exponent rule says:
So,
So, solving we get
Keywords: Exponents
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