I hope first term is 1.
Hope this is your question, if not I think you will, still be able to
find an answer of your question based on this solution.
The formula for general term of a geometric sequence is,
Where, first term: a_{1} =1 and common ratio: r = -4.
So, first step is to plug in the values of a1 and r in the above formula to get the rule of this geometric sequence. Hence,
So, the rule of the geometric sequence is .
To find the seventh term, plug in n = 7 in the above rule. Therefore,
= 
= 4096
Hope this helps you!.
Answer:
A, D, and E
Step-by-step explanation:
The ratio between the sides of the rectangle is 12/3 = 4. In a scaled copy of rectangle A, the ratio between the sides needs to be 4 too.
For answer A the 6/1.5 = 4, has the same ratio therefore is a scaled version of rectangle A
For answer B the 10/2 = 5, it does not has the same ratio therefore is not a scaled version of rectangle A
For answer C the 13/4 = 3.25, it does not has the same ratio therefore is not a scaled version of rectangle A
For answer D the 18/4.5 = 4, has the same ratio therefore is a scaled version of rectangle A
For answer E the 80/20 = 4, has the same ratio therefore is a scaled version of rectangle A
Explanation:
Addition of fractions can be accomplished using the formula ...
a/b + c/d = (ad +bc)/(bd)
Usually, you are asked to find the common denominator and rewrite the fractions using that denominator. It is not necessary, but it can save a step in the reduction of the final result. Here, we'll use the formula, then reduce the result to lowest terms.
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13. 5/6 +9/11 = (5·11 +6·9)/(6·11) = 109/66 = 1 43/66
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14. 7/20 -5/8 = (7·8 -20·5)/(20·8) = -44/160 = -11/40
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15. 1/5 -1/12 = (1·12 -5·1)/(5·12) = 7/60
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Dividing fractions can be accomplished different ways. I was taught to multiply by the inverse of the divisor. ("Invert and multiply.") Here, that means the problem (2/7) / (1/13) can be rewritten as ...
(2/7) × (13/1) . . . . . where 13/1 is the inverse of 1/13.
You can also express the fractions over a common denominator. In that case, the quotient is the ratio of the numerators. Perhaps a little less obvious is that you can express the fractions using a common numerator. Then the quotient is the inverse of the ratio of the denominators: (2/7) / (2/26) = 26/7. (You can see how this works if you "invert and multiply" the fractions with common numerators. Those numerators cancel.)
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16. (2/7)/(1/13) = 2/7·13/1 = 26/7 = 3 5/7
