Step-by-step explanation:
Use the discramnt formula.
Answer:
<u>5, 18, 44, 96, 200</u>
Step-by-step explanation:
<u>Given</u>
<u>First term</u> : 5
<u>Second term</u> : a₂ = 2(a₁ + 4)
- a₂ = 2(5 + 4) = 2(9) = 18
<u>Third term</u> : a₃ = 2(a₂ + 4) = 2(18 + 4) = 2(22) = 44
<u>Fourth term</u> : a₄ = 2(a₃ + 4) = 2(44 + 4) = 2(48) = 96
<u>Fifth term</u> : a₅ = 2(a₄ + 4) = 2(96 + 4) = 2(100) = 200
Hence, the first 5 terms of the sequence are :
- <u>5, 18, 44, 96, 200</u>
Answer:
10 in.
Step-by-step explanation:
The area of a rhombus is the product of the lengths of the diagonals divided by 2.
Let the diagonals be x and y.
area = xy/2
Here you have
area = 40 in.^2
x = 8 in.
We are looking for y, the other diagonal.
xy/2 = area
(8 in.)y/2 = 40 in.^2
(8 in.)y = 80 in.^2
y = 10 in.
Answer: The other diagonal has length 10 in.
Is 12 Because the pattern is 2+1=3; 4+2=6;
6+3=9; 8+4=12 and 10+5=15
