We know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
<span>common ration r is equal to 3
number of terms n is 12
The </span><span>Sum of geometric series is given by the formula
</span>Sum=a1*[1-r<span>^n]/[1-r]
</span>Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
<span>Sum=531440/2-----> 265720
the answer is
265720
</span>
10.49 It was really 10.4880884817 but 8 rounds it up to 10.49
Answer:
-3,8
Step-by-step explanation:
Answer:
x = -10
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 36 - 4.5x + 36 = 102 - 7.5x - 60
- Combine like terms: -4.5x + 72 = -7.5x + 42
- Add 7.5x on both sides: 3x + 72 = 42
- Subtract 72 on both sides: 3x = -30
- Divide 3 on both sides: x = -10
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
- Simplify: 4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
- Multiply: 4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
- Add: 4.5(18) + 36 = 102 - 2.5(-6)
- Multiply: 81 + 36 = 102 + 15
- Add: 117 = 117
Here we see that 117 does indeed equal to 117.
∴ x = -10 is a solution of the equation.
Answer:
7/50
Step-by-step explanation:
