Plz help me on number 4 thank u so much math people
1 answer:
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Answer:
nth term =
Step-by-step explanation:
Let us assume that the given sequence is a G.P.
Now, if the first term of the G.P. is a and the common ratio is r, then
Third term = .......... (1) and
20th term = ........... (2)
Now, dividing equation (2) with equation (1) we get
⇒
⇒ r = 1.2.
Hence, from equation (1) we get
a(1.2)² = 11
⇒ a = 7.639 (Approx.)
Therefore, the general term of the sequence i.e. nth term = (Answer)
Answer:
y = 108x + 216
Step-by-step explanation:
given
y = 4x³ then = 12x² =
x = 3 ⇒ m = 12(- 3)² = 108
equation of tangent in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept ), hence
y = 108x + b
To find b substitute (- 3, - 108) into the equation
- 108 = -324 + b ⇒ b = - 108 + 324 = 216
y = 108x + 216 ← equation of tangent