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:
angle 8 and angle 4
Step-by-step explanation:
angle 4 is the correct answer because it is the same as 8 but on the other side
Answer:
Part A: A
Part B: A
Step-by-step explanation:
1)
the inequality should be less than or equal to, since we need to find how many are left
now, the answer B is wrong, since there can't be negative 56, since Xander collected some cans, though he still must collect a few
thus, the answer is A
2)
A again is correct, since it represents:c ≤ 56
B represents c ≥ 56
C represents c ≤ –56
D represents c ≥ -56
1. Find the Greatest Common Factor (GCF)
GCF=x
2. Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
x(2x^4/x + 5x/x) <---Fraction inside parenthesis.
3. Simplify each term in parentheses.
Answer is x(2x^3+5)
I hope this helps.