The first differences are 8, 14, 20.
The second differences are 6.
Half of 6 is 3, so the first term of the sequence is 3n^2.
If you subtract 3n^2 from the sequence you get 0,-1,-2,-3 which has the nth term of -n + 1.
Therefore your final answer will be 3n^2 - n + 1
Answer:
119 square units
Step-by-step explanation:
To find the area of a trapezoid, use this formula: (a+b)/2 * h
Substitute 24, 10, and 7 for a, b, and h, respectively.
((24 + 10)/2) * 7
<em>Step 1: Add 24 and 10 to get 34.</em>
(34/2) * 7
<em>Step 2: Divide 34 by 2 to get 17.</em>
17 * 7
<em>Step 3: Multiply 17 by 7 to get 119</em>
119
The area of this trapezoid is 119 square units.
Answer:
sqrt(5)/29
Step-by-step explanation:
1/(5 + 3sqrt(5))
= 1/(5 + 3sqrt(5)) x sqrt(5)/sqrt(5)
= sqrt(5)/(5 + 3 x 8)
= sqrt(5)/ 29
