Answer:

Step-by-step explanation:
The recursive rule tells you the initial term of the sequence is a1 = -3, and the common difference is d=7. (7 is the value added to one term to get the next term.)
Putting these values into the formula for the explicit rule gives ...
an = a1 +d(n -1)
an = -3 + 7(n -1)
1) Final expression: 
2) Final expression: 
Step-by-step explanation:
1)
The first expression is

First, we remove the 2nd bracket by changing the sign of all the terms inside:

Now we group the terms with same degree together:

Now we solve the expression in each brackets:

So, this is the final expression.
2)
The second expression is

We apply the distributive property, so we rewrite the expression as follows:

Solving both brackets,

Now we group terms of same degree together:

And solving each bracket,

So, this is the final expression.
Learn how to simplify expressions:
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Step-by-step explanation:
98 = 188t - 16t^2
-16t^2 + 188t = 98
-16t^2 + 188t - 98 = 0
8t^2 - 94t + 49 = 0
Use the quadratic formula with a = 8 , b = -94 , c = 49 to get the solutions
t = [(47 - root 1817) / 8]≈ 0.55
and
t = [(47 + root 1817) / 8] ≈ 11.20
Answer:
Standard form of the equation is:
∴
Step-by-step explanation:
Given equation:

To convert the given equation to standard form of equation:

Using distribution.


Adding 2 both sides.


Adding
to both sides.

∴