The number of terms, 'n' is 8
<h3 /><h3>How to determine the number of terms</h3>
Let's determine the common ratio;
common ratio, r = 3/1 = 3
The formula for sum of geometric series with 'r' greater than 1 is given as; Sn = a( r^n - 1) / (r - 1)
n is unknown
Sn = 3280
Substitute the value
3280 = 1 ( 3^n - 1) / 3- 1
3280 = 3^n -1 /2
Cross multiply
3280 × 2 = 3^n - 1
6560 + 1 = 3^n
6561 = 3^n
This could be represented as;
3^8 = 3^n
like coefficient cancels out
n = 8
Thus, the number of terms, 'n' is 8
Learn more about geometric series here:
brainly.com/question/24643676
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First, we determine that the given equation in this item
is a linear equation. Thus, it should be a straight line. With this, we are
left with the third and fourth choice. Then, we substitute the given data
points to the equation and see if the points satisfy the given.
Choice 3:
<span> (1,3) :
(-5)(1) + (2)(3) = 1 TRUE</span>
<span> (3,8) :
(-5)(3) + 2(8) = 1 TRUE</span>
<span> (-3,-7)
: (-5)(-3) + (2)(-7) = 1 TRUE</span>
Choice 4:
<span> (4,-3) :
(-5)(4) + (2)(-3) ≠ 1 FALSE</span>
<span> (-1,2) : (-5)(-1) + (2)(2) ≠ 1 FALSE</span>
<span> (-4,5) : (-5)(-4) + (2)(5) ≠ 1 FALSE</span>
<span>Thus, the answer is the third choice.</span>
Step-by-step explanation:
f(x) = y= -x²-x+6
When y is max, f'(x) = 0
f'(x) = -2x-1
Equating to 0,
-2x-1= 0
x= -1/2
Put the value of x in f(x)
y = -(-1/2)² -(-1/2) +6
= -1/4+1/2+6
= 6+1/2
y= 13/2
Answer:
∡x = 74º
Step-by-step explanation:
∡x= 180º - 106 = 74º
