Answer: Choice A
S9 = (9/2)*(2+26)
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The formula is
Sn = (n/2)*(a1+an)
where
Sn = sum of the first n terms (nth partial sum)
n = number of terms
a1 = first term
an = nth term
In this case,
n = 9
a1 = 2 (plug in n = 1 into the formula an = 3n-1 and simplify)
an = a9 = 26 (plug n = 9 into the formula an = 3n-1 and simplify)
So,
Sn = (n/2)*(a1+an)
S9 = (9/2)*(2+26)
will help us find the sum of the first 9 terms of this arithmetic sequence
Answer:
4
Step-by-step explanation:
2+2 is 4
Answer:
option C
c.
least: $101
greatest: $1001
Step-by-step explanation:
A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize.
Sum of 10 prizes = 5510
100 is the difference. there is a common difference d=100
So its a arithmetic sequence
the sum formula for arithmetic sequence is
Sn = 5510, n=10 n d= 100 we need to find out first term a1
5510 = 5 (2a1 + 900)
5510 = 10a1 + 4500
Subtract 4500 on both sides
1010= 10a1
divide by 10 on both sides
a1 = 101
so first term that is least term is 101
To find out greatest term we use formula
a(10) = 101 + (10-1)100
= 101 + 900= 1001
greatest is 1001
Question not well presented and diagram is missing
Quadrilateral WILD is inscribed in circle O.
WI is a diameter of circle O.
What is the measure of angle D?
See attached for diagram
Answer:
Step-by-step explanation:
Summation of opposite angles of a quadrilateral inscribed in a circle is 180°, given that the vertices are on the circle.
Given
<WIL = 45°
<ILD = 109°
In the attached;
<WIL + <WDL = 180° (Opposite angle of quadrilateral)
Substitute 45° for <WIL in the above expression
45° + <WDL = 180° ---- Collect like terms
<WDL = 180° - 45°
<WDL = 135°
Hence, the measure of angle D is 135° (See attached)
1.) 5
2.) 9
3.) 1/2
4.) 0.5
5.) 1
6.) -8