Answer:
n squared - 10n + 24
Step-by-step explanation:
<h3><u>
Answer:</u></h3>
33480783
<h2><u>
Step-by-step explanation:</u></h2>
<u>Finding the Common Ratio:</u>
We know that the formula for the common ratio of a GP is:
r = aₙ / (aₙ₋₁) <em>(Where n is any integer)</em>
<em>replacing the values, taking n=2</em>
r = -21 / 7
r = -3
<u>Solving for the 15th Term:</u>
We know that the Formula for the nth term of a GP:
G(n) = a * r ⁿ⁻¹ <em>(where a is the first term and r is the common ratio)</em>
<em>replacing the values (taking n = 15 since we need the 15th term)</em>
G(15) = 7 * (-3)¹⁴
G(15) = 33480783
Hence, the 15th term of the given GP is 33480783
When A is divided: A /
By the sum of a certain number and 10: (n + 10)
When A is divided by the sum of a certain number and 10: A / (n + 10)
The result is the same as: =
Dividing 3: 3 /
By the sum of that number and 4: (n + 4)
The result is the same as dividing 3 by the sum of that number and 4: 3 / (n + 4).
Final Equation: A / (n + 10) = 3 / (n + 4)
To solve, we'll need to cross-multiply. Without knowing the value of A, however, the answer will not be a numerical value.
3(n + 10) = A(n + 4)
3n + 30 = An + 4A
30 - 4A = An - 3n
30 - 4A = n(A - 3)
n = (30 - 4A) / (A - 3)
If you know the value of A, then please plug it in to the value for n given above.
Hope this helps!
Answer:
17
Step-by-step explanation:
Eliminating parentheses, we have ...
... 1 - 5q +2·2.5q +2·8
... = 1 -5q +5q +16 . . . . . carry out the multiplication
... = q(-5+5) +(1 +16) . . . . group like terms
... = q·0 +17 . . . . . . . . . . . combine like terms
... = 17
p' is (3, 0), since the coordinates are being translated 2 units left and 5 units up.
