Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
<h3>(a)</h3>
The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
<h3>(b)</h3>
The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
<h3>(c)</h3>
The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
Answer:
Step-by-step explanation:
42:7=ED:24
cross multiply 42 into 24.
Then divide by 7
you will get ED
Then use pythageorous theorem.
Ed square + 42 square=Ef square
Then do square root of Ef square
------------------------------------------------------------------
Define x :
------------------------------------------------------------------
Let the number be x.
------------------------------------------------------------------
Construct Equation:
------------------------------------------------------------------
x ÷ (-10) = -30
------------------------------------------------------------------
Multiply for (-10) on both sides:
------------------------------------------------------------------
x = (-30) x (-10) = 300
------------------------------------------------------------------
Answer: x = 300
------------------------------------------------------------------
Answer:
Step-by-step explanation:
we are to distinguish between
dependent variable independent variable
vs
response variable explanatory variable
An independent variable is one which is not affected by any other variable for example, the amount we spend, the time we study ,etc.
An explanatory variable is a type of independent variable but not fully independent but depends on some factors.
Though explanatory and independent variables are practically used interchangeably the main difference is explanatory variable is not independent but explains the variations in the response varaible.
Answer: 0.113636364
Step-by-step explanation:
4.5 / 39.6 = 0.113636364
Or do you mean 39.6 ÷ 4.5?
39.6 ÷ 4.5 = 8.8
