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2 answers:
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Answer:
D
Answer:
- First option of the figure:
Explanation:
Assume that the complete question includes the following description of how the pennies are placed on the chessboard:
"If a chessboard (8×8) were to have pennies placed on each square such that 1 penny was placed on the first square, 2 on the second, 4 on the third, and so on (doubling the number of pennies on each subsequent square), how many pennies would be on the chessboard when finished?"
From that you can write the first terms of the sequence that represent such description
Square number of pennies power form
1 1 1 × 2⁰
2 2 1 × 2¹
3 4 1 × 2²
4 8 1 × 2³
5 16 1 × 2⁴
n 1 × 2ⁿ⁻¹
64 1 × 2⁶³
Hence, you to have the total number of pennies you have to sum the number of pennies on every square of the chessboard, which will lead to :
1 × 2⁰ + 1 × 2¹ + 1 × 2² + 1 × 2³ + 1 × 2⁴ + ... 1 × 2ⁿ⁻¹ up to n = 64 or n - 1 = 63.
That is the sum from n = 1 to 64 - 1 of 1 × 2ⁿ⁻¹, which using summation form is the first option on the picture.
Answer:
The answer is
<h2>1.46</h2>Step-by-step explanation:
Take logarithm of both sides of the equation
That's
Using the rules of logarithms
So we have
Divide both sides by log 3
We have
We have the final answer as
1.46497
which is
1.46 to 2 decimal places
Hope this helps you