Answer:
- an = 3(-2)^(n-1)
- 3, -6, 12, -24, 48
Step-by-step explanation:
These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.
a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.
a1 = 3 (given)
a2 = a1×r = 3×(-2) = -6
a3 = a2×r = (-6)(-2) = 12
a4 = a3×r = (12)(-2) = -24
a5 = a4×r = (-24)(-2) = 48
The first 5 terms are 3, -6, 12, -24, 48.
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The explicit formula for the terms of a geometric sequence is ...
an = a1×r^(n -1)
Using the given values of a1 and r, the explicit formula for this sequence is ...
an = 3(-2)^(n -1)
Answer:
11. 
12. 
13. 
14. 
15. 
16. 
17. 
18. 
Step-by-step explanation:
In all of them you just subtract the bottom exponent from the top exponent.
The Pythagorean theorem is a^2+b^2=c^2 where a and b are legs and c is the hypotenuse(longest side). you haven’t put a picture so I don’t know where 35 is a leg or the hypotenuse, but all you have to do is square the 2 shorter sides and add them and set it equal to the square of the longer side. You can do it!
Answer:
Your answers are correct.
Step-by-step explanation:
The "<" sign means less than and the ">" sign means greater than. It is clear that you have a handle on them.
1.) If Steve has no more that 28 toys, then the less than sign would represent the fact that Steve can have a maximum of 28 toys, and no more.
2.) If the temperature is more that 28 degrees Fahrenheit, then the greater than sign is appropriate in order to imply that the variable represents a higher temperature.
3.) If tony is younger than 29 years old, then the less than sign fits to show that the variable represents an age that is smaller than 29.
4.) If the table is greater than 29 kilograms, then the greater than sign is needed. It shows that the table has a greater weight than 29 kilograms.
Hope this helps! :D
Answer:
128 pages
Step-by-step explanation:
In total, Marty had read 128 pages of his book.
