What is the value of x? A.15 start root 3 end root
B. Start Fraction 15 over 2 End Fraction
C.5 start root 3 end root
D. Start Fraction 15 Start Root 2 End Root over 2 End Fraction

5 sqrt(3) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 30 = x/15

15 tan 30 = x

15 ( sqrt(3)/3) = x

5 sqrt(3) =x

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

126 maybe. sorry