Solve LaTeX: \frac{-x}{3} \:-15 x > − 15 LaTeX: x\: \:-2
1 answer:
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Answer:
Recursive:
Explicit:
And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:
Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:
Explicit Rule:
The standard format for the explicit rule is:
Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:
Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:
Evaluate:
Hence, the 20th term is 225.
Answer:
<em>( - 15, - 16 ) </em>
Step-by-step explanation:
Coordinates of midpoint are ( ,
)
( - 5 + x ) / 2 = - 10 ⇒ x = - 15
( 4 + y ) / 2 = - 6 ⇒ y = - 16
<em>( - 15, - 16 )</em>