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Answer:
<h3>i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰ =
0</h3>
Step-by-step explanation:
Consider the sum S = i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰
S = i¹ + i² + i³ + . . . + i⁹⁹ + i¹⁰⁰
S = a₁ + a₂ + a₃ +. . . + a₉₉ + a₁₀₀
then, S is the sum of 100 consecutive terms of a geometric sequence (an)
where the first term a1 = i¹ = i and the common ratio = i
FORMULA:______________________
_______________________________
then
or i¹⁰⁰ = (i⁴)²⁵ = 1²⁵ = 1 (we know that i⁴ = 1)
Hence
S = 0
2n,perimeter of rectangle is 12n ( width is 2n because length is twice of the width)
1/2 of that ( because the perimeter of the rectangle is twice of the equilateral triangle) is 6n. Since its an equilateral triangle, divide 6n by 3 to get 2n
Answer:
The product is 
Step-by-step explanation:
To do this we must understand how the basic operations apply to powers. If the power has the same base and we multiply them, the base remains the same while we sum the powers, if we divide them the base remains the same and we subtract the powers, if we try to make a power of a power the two powers multiply. Applying this rule we have:
I found that the given prices are $ 4 per pack of pens and $ 3 per pack of penciles.
The question is how much the bookstore spent on pens.
Then you have to multiply the number packs of pens, which is 1,528, times the price per pack pens which is $ 4.
So, the answer is: 1528 packs of pens * $ 4 / pack of pens = $6112.
Answer:
Options B, C and D
Step-by-step explanation:
Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.
In other words, pair of supplementary angles is the linear pair.
From the figure attached,
Pair of the linear angles are,
1). ∠BAC and ∠CAD
2). ∠BAE and ∠EAD
3). ∠EAD and ∠DAC
Therefore, Options B, C and D are correct.
