I'll do the first two problems to get you started
Problem 1
1/2 = 3/6
1/3 = 2/6
For the first fraction, I multiplied top and bottom by 3. Note how 3 is the denominator of the second fraction.
For the second fraction, I multiplied top and bottom by 2. Note how 2 is the denominator of the first fraction.
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Problem 2
1/2 = 5/10
3/5 = 6/10
Like with problem 1, I multiplied top and bottom of the first fraction by the value 5 which is the denominator of the second fraction. Likewise, I did the same for the second fraction using the first denominator. The steps are essentially the same, but the numbers are different.
Problem 3 will be handled the same way. I'll let you try it out.
The options are H,H,T or T,T,H
HHT: 1/2 x 1/2 x 1/2 = 1/8
TTH: 1/2 x 1/2 x 1/2 = 1/8
HHT or TTH: 1/8 + 1/8 = 2/8 = 1/4
Answer: 1 out of 4 = 1/4 = 25%
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
#SPJ1
Answer:
Step-by-step explanation:
When dividing numbers with powers, it is handy to remember that
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