The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)
<h3>The nth term of a geometric sequence</h3>
First term, a1 = -6
Fifth term, a5 = -486
a5 = ar^(n - 1)
-486 = -6 × r^(5-1)
-486 = -6r⁴
r⁴ = -486 / 6
r⁴ = 81
r = 4√81
r = 3
Geometric rule:
nth term = ar^(n-1)
nth term = -6 × 3^(n - 1)
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12 out of 20
Your answer is the question
Answer:
Step-by-step explanation:
here is your answer
Calculation steps:
Solution:
If the <u>numerator</u> and the <u>denominator</u> have like bases in exponents, then the <u>exponents</u> subtract.
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Thus, 7b is the simplified expression.
Answer:
the rate of inflation is 2%.
Step-by-step explanation:
given:
Nominal interest rate =3%
Real interest rate=1%
To Find:
Rate of inflation=?
Solution:
Nominal interest rate:
Nominal interest rate refers to the interest rate before taking inflation into account.
Inflation rate:
The inflation rate is the percent increase or decrease in prices during a specified period. It's usually over a month or a year.
Real interest rate:
A real interest rate is an interest rate that has been adjusted to remove the effects of inflation to reflect the real cost of funds to the borrower and the real yield to the lender or to an investor.
Real interest rate ≈ nominal interest rate − inflation rate.
This can be re written as
inflation rate= Real interest rate - nominal interest rate
Substituting the values,
inflation interest = 1+3
inflation interest=4%
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