What is 5(x + 4) expanded???
1 answer:
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Answer: 12
Step-by-step explanation:
law of cosines states that f^2 = t^2 + p^2 - 2tp cos(F)
so f^2 = 5^2 + 7^2 - 2*5*7*cos(175)
f^2 = 74 - (-69.7336)
f^2 = 143.7336
f = 11.9889
which rounds to 12
<em><u>The recursive formula to find nth term of sequence is:</u></em>
and n = 1, 2, 3, ....
<em><u>Solution:</u></em>
Given a sequence is:
3, 7, 11, 15, 19, 23, 27, 31, 35
<em><u>Let us find the difference between terms</u></em>
7 - 3 = 4
11 - 7 = 4
15 - 11 = 4
19 - 15 = 4
23 - 19 = 4
27 - 23 = 4
31 - 27 = 4
35 - 31 = 4
Thus the difference between terms is constant
Thus the given sequence is arithmetic sequence
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant
<em><u>The nth term of arithmetic sequence is given by:</u></em>
= the nᵗʰ term in the sequence
= the first term in the sequence
d = the common difference between terms
Here in the given sequence
d = 4
Substitute in above formula,
<em><u>Thus the recursive formula to find nth term of sequence is:</u></em>
and n = 1, 2, 3, ......