Step-by-step explanation:
a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".
so,
6×r = 18
r = 18/6 = 3
and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.
a0 = 6
a1 = a0 × 3 = 6×3 = 18
a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54
an = a0 × 3^n = 6 × 3^n
so,
f(x) = 6×3^x, x is integer, x >=0
Answer:
f(x) – g(x) = x^2 - 4x + 3
Step-by-step explanation:
f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,
f(x) – g(x) = 3x^2 - 4x + 5 - ( 2x^2 + 2)
Distribute the minus sign
f(x) – g(x) = 3x^2 - 4x + 5 - 2x^2 - 2
Combine like terms
f(x) – g(x) = x^2 - 4x + 3
Step-by-step explanation:
In figure:
∠PRT+∠RTP+∠TPR=180
O
(angle sum property of triangle)
⇒x+(180
O
−∠RTQ)+60
O
=180
O
(linear pair)
⇒x+(180
O
−97
0
)+60
o
=180
O
⇒x=31
o
Now, ∠PRT+∠TRQ+∠QRS=180
O
(angle of straight line)
⇒x+48
o
+y=180
O
⇒31
o
+48
o
+y=180
O
⇒y=101
0
Numerical form is an actual number as opposed to a word.
"Seven" is not numerical form.
"7" is numerical form.
