Please help me so confused Solve. x^2 + 3x − 7 = 0 Enter your answers, as exact values, in the boxes. x = or x =
2 answers:
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All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for :
Then as gets arbitrarily large, the term will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Answer:
F=70.7
Step-by-step explanation:
This is a simple substitution problem.
- The formula to change Fahrenheit to Celsius is
.
- They give you C, so substitute it into the problem, which would give you
.
- Simplify the right side of the equation by multiplying
by 21.5.
- Now, add 32 to 38.7, which should have been your answer to the previous step.
- You should now have F= 70.7 as your answer.