What is the 15th term in the sequence using the given formula? Cn=3n-1
2 answers:
Answer: The correct option is (C) 44.
Step-by-step explanation: We are given to find the 15-th term of the sequence using the following formula for the n-th term of the sequence:
Since we are to find the 15-th term of the given sequence, so we will substitute the value of n as 15 in the given formula.
Substituting n = 15 in the given formula (i), we get
Thus, the 15-th term of the given sequence is 44.
Option (C) is correct.
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Given:
f(x) = sin(x)
g(x) = cos(x).
Note that because sin²x + cos²x = 1, the value for f²+g² should be equal to 1.
Create the table shown below.
x f² g² f² + g²
-------- ---------- ----------- ------------
-π 0 1 1
-0.8π 0.3455 0.6545 1
-0.6π 0.9045 0.0955 1
-0.4π 0.9045 0.0955 1
-0.2π 0.3455 0.6545 1
0 0 1 1
0.2π 0.3455 0.6545 1
0.4π 0.9045 0.0955 1
0.6π 0.9045 0.0955 1
0.8π 0.3455 0.6545 1
π 0 1 1
A sketch is shown in the figure below.
f(x) = sin(x)
g(x) = cos(x).
Note that because sin²x + cos²x = 1, the value for f²+g² should be equal to 1.
Create the table shown below.
x f² g² f² + g²
-------- ---------- ----------- ------------
-π 0 1 1
-0.8π 0.3455 0.6545 1
-0.6π 0.9045 0.0955 1
-0.4π 0.9045 0.0955 1
-0.2π 0.3455 0.6545 1
0 0 1 1
0.2π 0.3455 0.6545 1
0.4π 0.9045 0.0955 1
0.6π 0.9045 0.0955 1
0.8π 0.3455 0.6545 1
π 0 1 1
A sketch is shown in the figure below.