First we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.
we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)
an = a1 + (n-1) * d
n = the term we want to find = 34
a1 = first term = 3
d = common difference = 6
now we sub
a34 = 3 + (34-1) * 6
a34 = 3 + (33 * 6)
a34 = 3 + 198
a34 = 201
now we use the sum formula
Sn = (n (a1 + an)) / 2
S34 = (34(3 + 201))/2
s34 = (34(204)) / 2
s34 = 6936/2
s34 = 3468 <=== the sum of the first 34 terms
358 would be your answer. All you have to do is add these two numbers together:)
Answer:
Step-by-step explanation:
#1 Synthetic method
- 2x³ + x² - 2x - 4 ÷ x + 1 = 2x² - x - 1 rem 3
--------------------------------------
x + 1 | 2x³ + x² - 2x + 4
---------------------------------
-1 | 2 1 -2 4
<u>| - 2 1 1 </u>
2 - 1 - 1 3
#2 Long division
- 3x³ - 5x² - 26x - 8 ÷ 3x + 1 = x² - 2x - 8
--------------------------------------
3x³ - 5x² - 26x - 8 <u>| 3x + 1</u> = x² - 2x - 8
<u>3x³ + x²</u>
-6x² - 26x
<u>-6x² - 2x</u>
- 24x - 8
<u>- 24x - 8</u>
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