<h3>
Answer: Choice B</h3>
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Explanation:
The idea is that for any term, we add on the common difference d to get the next term. For example, the sequence {3, 7, 11, 15, 19, 23, ...} has us add on 4 each time so d = 4 in this case.
3+4 = 7
7+4 = 11
11+4 = 15
and so on. The nth term is represented by the notation while the term just before the nth term is written as
So adding d onto the term just before the nth term gets us the nth term which is how we end up with
This is the recursive form of the arithmetic sequence. The closed form is written as
Ratio is 7:9
add the ratio it becomes 16
272 members divided by 16
that makes it 17 per one ratio
women ratio is 9
17x9 is 153
i=153 women in the sports club
same thing with ii except it’s divided by 7
91/7 is 13
which means 13 per ratio
there are 9 ratios of women
9x13=117
ii=117 women in a sports club with 91 men with a ratio of 7:9
If
is the common difference between terms in the sequence
, then
...
You're told that
(the sum of the first 16 terms in the sequence, presumably). Well, we know that
Recall that
so that we have
So we get
Answer:
Step-by-step explanation:
1. The measure of an inscribed angle is always half the measure of the arc it forms. Since angle ACB forms arc AB with a measure of 100 degrees, the measure of angle ACB will be equal to .
2. Relating to problem 1, both inscribed angles marked in the figure form the same arc. All inscribed angles forming the same arc will have the same measure. Therefore, the measure of angle GEF is equal to .
Simplifying
120 + -28a = 78
Solving
120 + -28a = 78
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-120' to each side of the equation.
120 + -120 + -28a = 78 + -120
Combine like terms: 120 + -120 = 0
0 + -28a = 78 + -120
-28a = 78 + -120
Combine like terms: 78 + -120 = -42
-28a = -42
Divide each side by '-28'.
a = 1.5
Simplifying
a = 1.5