Answer:
a(n) = (3/5)a(n-1), where a(1) = 10 and n is 2 or greater.
Step-by-step explanation:
determine the common factor...The first term (10) by 3/5 results in the given second term (6); the third term is 3/5 of the second term (6), resulting in 18/5 (equivalent to 36/10 or 3.6/1, or just 3.6. Resulting in a(n) = (3/5)a(n-1).
the third term is 3.6, which, if mult. by (3/5), produces 2.16, as expected.
Thus, the recursive formula for this geometric sequence is a(n) = (3/5)a(n-1).
This is good only for a(1) = 10 and n = 2, 3, ....
Hope this helps you
Answers:
After simplifying the following expression, the coefficient of the m^2 term will be <u> 13 </u>
The solution is <u> 13m^2 + 6mn^2 - 5nm^2 </u>
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Explanation:
Highlight all the terms that have m^2 in them and nothing else (so that means no variables of n or n^2)
You should highlight 3m^2, 16m^2 and -6m^2 as the three terms.
The coefficients 3, 16 and -6 combine to 3+16-6 = 13
Meaning that 3m^2+16m^2-6m^2 = 13m^2
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There are no other like terms that pair up.
The 6mn^2 and -5nm^2 are different because the exponent 2 is over a different letter each time. Put another way: mn^2 is not the same as nm^2
So we cannot combine 6mn^2-5nm^2. We leave it as is.
Overall, the entire expression simplifies to 13m^2 + 6mn^2 - 5nm^2
Answer:
Step-by-step explanation:
2 equal 90° angles, we can use an equation
x + 15 = 90
x = 90 - 75
x = 15°
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check
90 = 15 + 75
90 = 90
the answer is good
Answer:
Explanation:
Volume of rectangular prism is same as volume of cuboid
Length = 19 ft
Width = 6 ft
Height = 19 ft
Volume of rectangular prism = Length × Width × Height
= 19 × 19 × 6
= 19² × 6
= 361 × 6
= 2166 ft³
