The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
A geometric sequence is in the form aₙ = ar⁽ⁿ⁻¹⁾, where a is the first term and r is the common ratio.
The geometric sequence 81, 27, 9, 3, … has common ratio:
r = 27/81 = 1/3
The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
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Answer:
2
Step-by-step explanation:
Divide 9/37 and you get repeating decimal of 0.243
Divide 2005 by 3 because the decimal repeats 3 numbers
You will get reminder of 1 from dividing 2005 by 3
Move 1 place from the decimal point and you get 2
Answer:
<u>Problem:</u> Jamie was driving for 24 miles in the first hour and 36 miles is the second hour. But, she stopped at a gas station 1/4 of the total drive. Find how far the gas station is from her start.
<u>Answer:</u>
24 + 36 = 50
50 * 1/4 = 50/4
50/4 = 12.5
<u>Explanation:</u> The gas station is 12.5 miles from her start to a 50 mile journey. The gas station was 1/4 of the total drive which was 50 miles. 1/4 of 50 is 12.5
Y = 3x - 7 . . . . . (1)
6x - 2y = 12 . . . (2)
Putting (1) into (2) gives
6x - 2(3x - 7) = 12
6x - 6x + 14 = 12
14 = 12
Therefore, there is no solution.