The sum if the geometric sequence given by:
an=-2(3)^(n-1)
will be:
when:
n=1
an=-2
when n=2
a2=-6
when n=3
a3=-18
when n=4
a4=-54
when n=5
a5=-162
when n=6
a6=-486
when n=7
a7=-1458
when n=8
a8=-4374
thus the summation of the term will be:
Sn=(-4374+-1458+-486+-162+-54+-18+-6+-2)
Sn=-6560
the answer is -6560
Answer:
489.84 m²
Step-by-step explanation:
Area of one 2d circle: πr² ⇒ π6² ⇒ 36π ≈ 113.04 (using 3.14 for pi)
Area of both 2d circles: 113.04 + 113.04 =226.08 m²
Now we have to find the width of the rectangle, which is equal to the circumference of either circle:
Width of rectangle: 2πr ⇒ 2π6 = 12π ≈ 37.68 (using 3.14 for pi)
We can find the area of the rectangle now, since the length was given
Area of rectangle: 37.68· 7= 263.76 m²
Surface Area: 263.76+226.08= 489.84m²
Hopefully this helps!
Well there can be two different solutions for this but i will choose the easier one. Obviously one requires a system of equations which obviously will involve a lot of thinking and some good algebra solving in order for them to solve.
So we can just keep adding the distance as we know they are in different directions. 49 + 65 = 114. So 114 * 4.5 = 513 miles. SO after around 4.5 hours they will be 513 miles apart.
Answer:
the answer is $50 for the full price of the sweater
Step-by-step explanation:
if you know $20 is 40% what is 20% it is $10 and then multiple it by 5 because 20 times 5 is 100 and you get 50