Answer:
8
Step-by-step explanation:
You can skip directly to the formula for the sum of an infinite sequence with first term a₁ and common ratio r:
S = a₁/(1-r)
Your values of the variables in this formula are a₁ = 6 and r = 2/8. Putting these into the formula gives ...
S = 6/(1 -2/8) = 6/(6/8) = 8
The sum of the infinite geometric sequence is 8.
_____
The above formula is the degenerate form of the formula for the sum of a <em>finite</em> sequence:
S = a₁((rⁿ -1)/(r -1))
<em>When the common ratio r has a magnitude less than 1</em>, the term rⁿ tends to zero as n gets very large. When that term is zero, the sum of the infinite sequence is ...
S = a₁(-1/(r-1)) = a₁/(1-r)
Answer:
After 5 years, the account will have earned $ 639.13 in interest.
Step-by-step explanation:
Given that Mr. and Mrs. kinkaid open a certificate of deposit account that pays 1.45% interest compounded daily, to determine how much interest will the account earn in 5 years on their deposit of $ 8,500, the following calculation must be performed:
X = 8500 (1 + 0.0145 / 365) ^ 5x365
X = 8500 (1 + 0.0145 / 365) ^ 1825
X = 9,139.13
9,139.13 - 8,500 = 639.13
Thus, after 5 years, the account will have earned $ 639.13 in interest.
F(x)=x2 + 2x - 5 represents a quadratic function
Answer:
4.8 degrees F
Step-by-step explanation:
Since the morning temp was -23.3 degrees and the temperature rose 28.1 degrees before reaching the high you do, -23.3+28.1 to get your answer of 4.8 Degrees F. Hope this helps! :)