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:
4. D
A: -25.5=a
B: b=-4
C: c=12
D: d=8
Step-by-step explanation:
4.Between a and d they are the 2 bigger values but D was the greatest out of all of them. - divided by a - will result as a positive and 7/9=0.77 and 19/12 *I looked for the least common factor and multiplied numerator and denominator to 12 depending on the denominators value. Ex: since one of my denominators was 4, I multiply the whole fraction by 3 to get 9/12 and the other was 5/6 times 2 is 10/12 and just add 10/12 by 9/12 which is 19/12.
5.
A: All I did was multiply 8.5 and -3 and get -25.5=a.
B: I add 7 on both sides of the equation and -7 and 7 get canceled off and -11+7=-4. b=4.
C: I multiplied - to -3 and got 3, now I can subtract -3 on both sides. 15-3=12 so c=12.
D. I had to divide by 4 on both sides to get d by itself. 32/4=8 so final answer would be d=8.
Answer: you can use Photomath
Step-by-step explanation:
The average is (0.76+0.88) / 2 = 1.64 / 2 = 0.82
The answer for ''4x = 5x - 12'' would be x = 12.
4x - 5x = 12 (subtract 5x from both sides)
-x = -12 (simplify 4x - 5x to -x)
x = -12 ( multiply both sides by -1) .
For the 2nd one ''10p + 5 = 18p - 6/2''
The answer is 1 not those choices
10p + 5 = 18p - 3
5 = 18p - 3 - 10p
5 = 8p - 3
5 + 3 = 8p
8 = 8p
1 = p
p = 1.
