Given:
In an arithmetic sequence,
[tex]a_1=2[/tex]
[tex]a_i=a_{i-1}-3[/tex]
To find:
The sum of the first 335 terms in the given sequence.
Solution:
The recursive formula of an arithmetic sequence is:
[tex]a_i=a_{i-1}+d[/tex] ...(i)
Where, d is the common difference.
We have,
[tex]a_i=a_{i-1}-3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]d=-3[/tex]
The sum of first i terms of an arithmetic sequence is:
[tex]S_i=\dfrac{i}{2}[2a+(i-1)d][/tex]
Putting [tex]i=335,a=2,d=-3[/tex], we get
[tex]S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)][/tex]
[tex]S_{335}=\dfrac{335}{2}[4+(334)(-3)][/tex]
[tex]S_{335}=\dfrac{335}{2}[4-1002][/tex]
[tex]S_{335}=\dfrac{335}{2}(-998)[/tex]
On further simplification, we get
[tex]S_{335}=335\times (-499)[/tex]
[tex]S_{335}=-167165[/tex]
Therefore, the sum of the first 335 terms in the given sequence is -167165.
Solve the following system of equations: {−6x−y=2−7x−4y=−9
Answer:
x=-1, y=4. (-1, 4).
Step-by-step explanation:
-6x-y=2
-7x-4y=-9
----------------
y=-6x-2
-7x-4(-6x-2)=-9
-7x+24x+8=-9
17x=-9-8
17x=-17
x=-17/17
x=-1
-6(-1)-y=2
6-y=2
y=6-2=4
(GIVING BRAINLIEST) who can tell me what grade middle school starts in the U.S.A
Answer:
Middle school (also called junior high school)
It starts with grade 6 and ends with grade 8.
Step-by-step explanation:
After a few months, Isabella's mother decides to harvest all the peas and corn and sell it at the local market. She decides on these prices: Peas are sold at $ 3 3/4 for each square foot harvested. And, corn is sold at $ 1 1/2 for each square foot harvested. Calculate how much money she made if she sold all her produce (all of her peas and corn).
Translate the phrase into an algebraic expression.
8 less than x
Answer:
8-x is the expression for the question
the measures of the angles of a triangle are shown below .solve for x
Answer:
x=17
Step-by-step explanation:
The equation is 44+60+(4×+8)=180
giving brainliest!! *easy*
Answer:
60.458
Step-by-step explanation:
it says the answer lol
what is the value of x?
Answer:
40
Step-by-step explanation:
135-95
im not 100% sure tho
If the radius is 8m, what is the diameter
Answer:
16m
Step-by-step explanation:
radius is half of diameter
Ryan made small
cherry pies with
a diameter of 2
in. What was the
area of one pie?
Answer:
area of one pie : πr² = π d²/4 = π× 2²/4 = π ≈ 3.14
Mr. Cox's round baler bales a 4-foot-wide bale having a 5.25 foot diameter. He wants to wrap
the bale in a white wrapper. He must allow an extra 10 percent for lapping. How many square
feet of wrapping does each bale require?
Answer:
109.27 ft²
Step-by-step explanation:
SA = face + face + curve
SA = 2πr² + 2πrw
= 2π(2.625)² + 2π(2.625)(4)
= ~43.3 + ~65.97 = 109.27 = SA
HELP RIGHT NOW! I REALLY NEED HELP AND MY ASSIGNMENT IS DUE TOMMOROW
Answer:
area = 6 units²
perimeter = 10.06 units
Step-by-step explanation:
area = 1/2bh
area = 1/2(4)(3) = 6 units²
perimeter = 4.123 + 2.236 + 4.243 = 10.06 units
Solve | 2x | = | x + 3 | by graphing
Answer:the answer is 3 and -1
Step-by-step explanation:
X=3
And
X=-1
Plz help What is 2x+x
Answer:
The correct answer is 3x
Step-by-step explanation:
Add 2x and x
~Hoped this helped~
~Brainiliest, please?~
Triangles & Trigonometry
Answer:
Answer: x = y = 2√7
Step-by-step explanation:
x = (2√14)cos45
x = (2√14)½√2
x = √14(√2) = √28 = 2√7
y = (2√14)sin45
y = (2√14)½√2
y = √14(√2) = √28 = 2√7
Sandra wants to solve the equation x2+2x−3 = 12 by using the factoring method. Which of the following should be her first step?
Answer:
her first step should be to multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-by-step explanation:
i looked it up on tiger algebra lol
Given : ABCD is a rectangle
m∠B1DB = 60°, m∠ADB = 45°
DB1=37
Find: Volume
Answer:
Step-by-step explanation:
∠B₁DB = 60°
△B₁BD is a 30°-60°-90° triangle. The sides are in the ratio 1:√3:2
B₁D = 37 ⇒ BD = 37/2 = 18.5
BB₁ = 18.5√3
△ABD is isosceles
AB = AD = BD/√2 = 18.5/√2
volume = AB × AD × BB₁
= (18.5/√2) × (18.5/√2) × 18.5√3
= 18.5³√3/2
≅ 5483 cubic units
many teams?
Ms. Z has 75 students in her
gym class. She wants to
make teams of 15 students.
How many teams will she
have?
7
aker notes
Answer:
75 divided by 15 is 7
Step-by-step explanation:
Solve the equations below using a number line. Click above the fraction line record the numerator and below the fraction line to record the denominator
Answer:
theres nothing
Step-by-step explanation:
a building has two sizes of Apartments small irregular the ratio of small apartments to regular Apartments is 14 to 6 what percent of apartments in the building are small
Answer is in the file below
tinyurl.com/wpazsebu
How many different user ID's can be formed from the letters W, X, Y, Z if no repetition of letters is allowed?
Answer:
16
Step-by-step explanation:
4 x 4
I need help please.
Answer:
Step-by-step explanation: Just do 0.25+0.25 then the answer x 0.18 and then divide the answer by 2 and it should equal 0.045
Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 Jars of jelly
and 5 jars of peanut butter for $15.67.
Use x for jars of jelly and y for jars of peanut butter, write the equation for either Erin or Jack.
DO NOT SOLVE
(Worth 10 points)
Here is your system of equations in two variables.
Equation for Erin:
4x + 6y = 19.32
Equation for Adam:
3x + 5y = 15.67
That's it.
What is the mode of the data set?
A. 8
B. 9
C. 10
D. 5
Answer:
A: 8
Step-by-step explanation:
The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. ... The mode can be the same value as the mean and/or median, but this is usually not the case
What is the slope of a line parallel to the line whose equation is 6x -2y= 32. Fully simplify your answer
Step-by-step explanation:
Given equation is
6x -2y= 32.........i)
Slope of line I) is
[tex]m1 = \frac{ - x \: coefficient}{y \: coefficient} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]
Now
As it is said that the lines are parallel so slope, m1 = m2
So the slope of a line parallel to line I) is
= 3
Hope it will help :)❤
James runs 400 metres a day. He runs for five days.
What is the total distance run in kilometres
Answer:
2km
Step-by-step explanation:
400*5=2000m
2000/1000=2km
Which data set has a median of 15?
7, 16, 14, 16, 11, 7, 17
18, 9, 19, 16, 6, 20. 13
9, 17, 13, 15, 16, 8, 12
18, 15, 11, 14, 19, 15, 6
Answer: The last one is the one with the Median
Step-by-step explanation: Hope this helps ^^
Answer:
18,15,11,14,19,15,6 the last one
What is the value of f (1)?
A
-11
B
-2
0
D
1
Answer:
its b
Step-by-step explanation:
The number of students, s, is at most 30.
Answer:
I'm confused
Step-by-step explanation:
maybe more context?
x ²+3x i need help loo
Answer:
the answer is 4x
Step-by-step explanation:
x×x+3x
x+3x
4x
it is acceptable to divide by zero true or false
Answer:
flase.,......,........
Answer:
true
Step-by-step explanation:
so like for example you say 0÷50
your answer will remain 0