Given:
The given sequence is:
To find:
The recursive formula for 
, the nth term of the sequence.
Solution:
We have,
Here, the first term is 5.
The common difference is -7.
The recursive formula for the nth term of the sequence is
Where, 
is the common difference.
Putting 
in the above formula, we get
Therefore, the recursive formula for the nth term of the sequence is .
The distributive property: a(b - c) = ab - ac
27 - 18r = 9·3 - 9·2r = 9(3 - 2r)
Answer:
12.7 cm
Step-by-step explanation:
ABC
12² = 6² + BC²
12² - 6² = BC²
144 - 36 = 108
CB² = 108
√108 = 10.392
CB = 10.392
CBD
Sin (55°) = CB / CD
0.81915 = √108 / CD
CD = 10.392 / 0.81915
CD = 12.686
CD = 12.7cm
Answer:
Substitution property of equality
Step-by-step explanation:
Given
and 
Then
Required
State the property
From the list of options, (d) answers the question.
This is so because:
Substitution property of equality states that
If 
then 
In other words, both can replace one another.
So if , then 2y + 1 can be substituted for x in
So:
becomes
<em>Hence, it is substitution property of equality</em>
Answer:
(49 - 29) + 1 =(50 - 29)
Step-by-step explanation:
The 20 comes from the subtraction of 29 in both sides of the previous step equality. In the following, I transcript the complete procedure and I add the step that you need to understand why 20 appears (in bold numbers):
29+20=49
49+1=50
(49 - 29) + 1 =(50 - 29)
20+1=21
50-29=21
hence, it was only nesseraty to subtract 29
