First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)
nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165
This will be used in the formula below
Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624
The final answer here is choice C) -624
<span>
</span>
Answer:
g(x) = (x − 1)3 + 5 graph1
x
y
02
1
5
f(x) = x3 graph 2
x
y
−2
−8
−
1−1
0
0
1
1
28
Answer:
60
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define Expression</u>
2 × (3³ - 5 + 8)
<u>Step 2: Evaluate</u>
- [Parenthesis] Exponents: 2 × (27 - 5 + 8)
- [Parenthesis] Subtract: 2 × (22 + 8)
- [Parenthesis] Add: 2 × 30
- Multiplication: 60
(1/15) / (1/3) = 1/x
cross multiply
1/15x = 1/3
x = 1/3 * 15
x = 15/3
x = 5 hrs
